Answer:
The interest rate on the account is 2.1%
Step-by-step explanation:
Compound interest is one that is added to the initial capital and on which new interests are generated. Money, in this case, has a multiplier effect because interest produces new interest. In other words, the initial capital increases in each period because the interests add up.
To calculate the final capital, the initial capital is multiplied by one plus the interest, raised to the number of periods:
[tex]A=P*(1+\frac{r}{n}) ^{n*t}[/tex]
where
A = Accumulated amount (principal + interest) P = Principal amount r = the interest rate n = the number of times the interest is compounded per year t = Time Involved in yearsIn this case:
A = $3,439.96P = $3,104.31r = ?n = 4t = 5Replacing, you get:
[tex]3,439.96=3,104.31*(1+\frac{r}{4}) ^{4*5}[/tex]
Now, solving:
[tex]\frac{3,439.96}{3,104.31} =(1+\frac{r}{4}) ^{20}[/tex]
[tex]\sqrt[20]{1.1081} =(1+\frac{r}{4})[/tex]
[tex]1.00514 =1+\frac{r}{4}[/tex]
[tex]1.00514 -1=\frac{r}{4}[/tex]
[tex]0.00514=\frac{r}{4}[/tex]
r=0.0051*4
r= 0.02056
In percentage it is expressed as: r= 2.056 %≅ 2.1 %
The interest rate on the account is 2.1%
Which are the two most important reasons for continuing education in the healthcare fields?
A. Rapidly increasing medical costs and a competitive job market
B. Technological advancement in new discoveries in health care
C. Job satisfaction in an unstable economy
D. Government requirements and rapid Computerization
Answer:
B. Technological advancement in new discoveries in health care
Hope this helps :)
Answer:
B
Step-by-step explanation:
ed2020
A man runs 30 meters in one direction, then 25 meters in another direction. how may meters did the man travel in total?
Answer:
55
Step-by-step explanation:
He ran 30 meters in one direction and 25 meters in another.
Therefore, the total distance that he ran is 30 + 25 which is equal to 55 meters.
If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.
Please show all work and not just the answers.
Answer:
x=2
AB=8
BC=8
AC=16
Step-by-step explanation:
7x-6=12-2x
7x+2x=12+6
9x=18
x=2
AB=7x-6=7(2)-6=14-6=8
BC=12-2x-12-2(2)=12-4=9
AC=8+8=16
PLEASE HELP ME I WILL GIVE BRAINLIEST!! 9 PLEASSSEEEE
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
there is a four out of nine change to get a green marble
there is a 1/2 change to get heads
[tex]\frac{4}{9}[/tex]×[tex]\frac{1}{2} =\frac{2}{9}[/tex]
"one less than the product of a number and 3 is 5 more than the number itself"
Answer:
the number is 3
Step-by-step explanation:
Perhaps you'd like to find the number.
If n represents the number, we can write the relationship as ...
3n -1 = n +5
Adding 1-n to both sides gives ...
2n = 6
n = 3 . . . . divide by 2
The number is 3.
_____
Check
The product of the number and 3 is 9. One less is 8. That is 5 more than the number itself: 8 = 3 + 5.
The coordinates of point 7 are given. The midpoint of ST is (5. - 8). Find the coordinates of point S.
9. T(10, 18)
Answer:
S(0, 2)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Step 1: Plug in known variables
5 = (10 + x)/2
-8 = (18 + y)/2
Step 2: Solve
10 = 10 + x
x = 0
-16 = 18 + y
y = 2
Step 3: Write coordinates
(0, 2)
(4p + 5)(p + 1) = 0
Answer:
[tex]4p {}^{2} + 4p \: + 5p + 5[/tex]
[tex] = )4p {}^{2} + 9p + 5[/tex]
[tex] = )4p {}^{2} + (5 + 4)p \: + 5[/tex]
[tex] = )4p {}^{2} + 4p \: + 5p \: + 5[/tex]
[tex] = )4p(p \: + 1) + 5(p \: + 1)[/tex]
p = - 1 , -5/4
Mark as brainliest.
Answer:
[tex]4p {}^{2} + 4p \: + 5p \: + 5[/tex]
=) [tex] = 4p {}^{2} + 9p \: + 5 [/tex][tex] = 4p \: {}^{2} +( 4 + 5) \times p \: + 5[/tex][tex] = 4p {}^{2} + 4p \: + 5p \: + 5[/tex]
[tex] = 4p \times (p + 1) + 5 \times (p + 1)[/tex]
= (4p +5)×(p+1)4p+5 =0 =)4p = -5 =)p = -5/4p +1 =0
=) p = -1
All of the following expressions are equal except ____.
1/4^3
4^2/4^5
4^4/4^2
4^-3
1/4^3= 0.015625
4^2/4^5= 0.015625
4^4/4^2= 16
4^-3= 0.015625
therefore the third one is the one that u are looking for
4^4/4^2= 16
All of the expressions are equal except the third expression i.e., 4^4 / 4^2.
Some expressions are given in the question.
We have to find out which expression is not equal to the other expressions.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
Let's check the value of given expressions by simplifying them.
a )
(1/4)³
= [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4}[/tex]
= [tex]\frac{1}{64}[/tex]
= 0.015625
b)
4² / [tex]4^{5}[/tex]
= [tex]\frac{16}{1024}[/tex]
= [tex]\frac{1}{64}[/tex]
= 0.015625
c)
[tex]4^{4}[/tex] / 4²
= [tex]\frac{256}{16}[/tex]
= 16
d)
[tex]4^{-3}[/tex]
= [tex]\frac{1}{64}[/tex]
= 0.015625
So , all values are equal except 3rd value.
Thus , all of the expressions are equal except the third expression i.e., 4^4 / 4^2.
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The associative property allows us to change the grouping of the factors that are
multiplied together to create what?
Answer:
Step-by-step explanation:equivalent expressions
The associative property allows us to change the grouping of the factors that are multiplied together to create an equivalent expression.
When the grouping of the addends is changed, the sum stays the same. The Associative Property of Multiplication states that when the grouping of the factors is changed, the product is the same. It is also called the Grouping Property of Multiplication. Always multiply the numbers inside the parentheses first.
What is the associative grouping property of multiplication?The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.
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For 1,a bag of marbles contains 4 black, 5 blue, 1 white, 2 yellow, and 3 green marbles 1. What is the ratio of the number of black marbles to the number of yellow marbles? A. 2:1 B. 1 to 5 C. 1:4 D. 1 to 2
Answer:
The ratio is 2:1
Step-by-step explanation:
black : yellow
4 2
Divide each side by 2
4/2 2/2
2 1
Hayden places these four blocks into a bag. A B С He picks one block without looking. What is the probability that the block Hayden picks has a letter on it? . A 1/4 B 1/3 C 2/3 D 3/4
Answer:
Option D. 3/4
Step-by-step explanation:
From the question given above, we obtained the following information:
Block with letter = 3
Block with symbol = 1
Total = 4
Thus,
Sample space (S) = 4
Event of block with letter (nBl) = 3
Event of block with symbol (nBs) = 1
Finally, we shall obtain the probability of picking a block with letter as follow:
Sample space (S) = 4
Event of block with letter (nBl) = 3
Probability of picking a block with letter, P(Bl) =?
P(Bl) = nBl/nS
P(Bl) = 3/4
Therefore, the probability of picking a block with letter is 3/4.
what value of x makes the equation true? 3x+21=8x-4
Answer:
x=5
Step-by-step explanation:
3 times 5= 15
15+21= 36
8 times 5 = 40
40-4=36
If m angle ABD=79 degrees , what are m angle ABC and m angle DBC
Answer:
m<ABC = 45
m<DBC = 34°
Step-by-step explanation:
Given:
m<ABD = 79°
m<ABC = (8x - 3)°
m<DBC = (5x + 4)°
Step 1: Generate an equation to find the value of x
m<ABC + m<DBC = m<ABD (angle addition postulate)
(8x - 3) + (5x + 4) = 79
Solve for x
8x - 3 + 5x + 4 = 79
13x + 1 = 79
Subtract 1 from both sides
13x + 1 - 1 = 79 - 1
13x = 78
Divide both sides by 13
x = 6
Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle
m<ABC = (8x - 3)°
m<ABC = 8(6) - 3 = 48 - 3 = 45°
m<DBC = (5x + 4)°
m<DBC = 5(6) + 4 = 30 + 4 = 34°
If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime factor of s is also a prime factor of r.
Answer:
If statement(1) holds true, it is correct that [tex]\small \frac{r}{s}[/tex] is an integer.
If statement(2) holds true, it is not necessarily correct that [tex]\small \frac{r}{s}[/tex] is an integer.
Step-by-step explanation:
Given two positive integers [tex]r[/tex] and [tex]s[/tex].
To check whether [tex]\small \frac{r}{s}[/tex] is an integer:
Condition (1):
Every factor of [tex]s[/tex] is also a factor of [tex]r[/tex].
[tex]r \geq s[/tex]
Let us consider an example:
[tex]s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2[/tex]
[tex]\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10[/tex]
which is an integer.
Actually, in this situation [tex]s[/tex] is a factor of [tex]r[/tex].
Condition 2:
Every prime factor of s is also a prime factor of r.
(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)
Let
[tex]r = 2^2\cdot 5\\s =2^4\cdot 5[/tex]
[tex]\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}[/tex]
which is not an integer.
So, the answer is:
If statement(1) holds true, it is correct that [tex]\small \frac{r}{s}[/tex] is an integer.
If statement(2) holds true, it is not necessarily correct that [tex]\small \frac{r}{s}[/tex] is an integer.
given that the total surface area of a cuboid with a square base is 66cm^2 and the total length of the sides is 40c. Find the possible volume of the cuboid.
Answer:
660cm^3
Step-by-step explanation:
to find the volume of a square with surface area, you multiply the base by the height. So the base is 66 and the height is 10(because 40/4=10). Then 66x10=660. So 660cm^3 would be your answer. Hope that helps!
Answer:
36 cm³
≈ 35.85 cm³
Step-by-step explanation:
Given cuboid with:Total surface area = 66 cm²Total length of the sides = 40 cmTo find:Volume of cuboidSolutionLet side of the base be x and height be y
Then we have equatins for total surface area and total side length:
2*x² + 4*xy = 66 ⇒ x² + 2xy = 332*4x + 4y = 40 ⇒ 2x + y = 10 ⇒ y = 10 - 2xSubstituting y in the first equation:
x² + 2x(10 - 2x) = 33x² + 20x - 4x² = 33-3x² + 20x - 33 = 03x² - 20x + 33 = 0Solving the quadratic equation we get roots of:
x₁ = 3 cmx₂ = 11/3 cmFor x = 3, the value of y:
y₁ = 10 - 2x = 10 - 6 = 4 cmFor x = 11/3, the value of y:
y₂ = 10 - 2x = 10 - 22/3 = 8/3 cmBased on the found values we get 2 possible volumes:
V = base * height = x²yV₁ = 3²*4 = 36 cm³V₂ = (11/3)²*8/3 ≈ 35.85 cm³A. 280 degrees
B. 190 degrees
C. 100 degrees
D. 350 degrees
Answer:
350° is ur answer mate...
Can someone please help?
Answer:
Explanation: The sum of the lengths of any two sides of a triangle must exceed the length of the third side; therefore, 5+7 > x, which cannot happen if x = 13.
4 Three collinear points on the coordinate plane are R(x, y), S(x + 8h, y + 8k), and
P(+ + 6h,y + 6K)
RP
Part A: Determine the value of
SP
RP
Part B: Determine the value of
Please show the step you took to find the answer
Answer:
RP/SP =3 , RP/RS = 3/4
Step-by-step explanation:
Here is the complete question
Three colinear points on the coordinate plane are R(x,y) S(x+8h, y+8k) and P(x+6h,y+6k) Determine value of RP/SP and RP/RS?
Solution
We first find the length of RS, SP and RP as follows
RS = S(x+8h, y+8k) - R(x,y)
= √[((x + 8h) - x)² + ((y + 8k) - y)²]
= √[x - x + 8h)² + (y - y + 8k)²]
= √[(8h)² + (8k)²] = 8√(h² + k²)
SP = P(x + 6h,y + 6k) - S(x+8h, y+8k)
= √[((x + 6h) - (x + 8h))² + ((y + 6h) - (y + 8k))²]
= √[x - x + 6h - 8h)² + (y - y + 6k - 8k)²]
= √[(-2h)² + (-2k)²] = 2√(h² + k²)
RP = P(x+6h, y+6k) - R(x,y)
= √[((x + 6h) - x)² + ((y + 6k) - y)²]
= √[x - x + 6h)² + (y - y + 6k)²]
= √[(6h)² + (6k)²] = 6√(h² + k²)
So, RP/SP = 6√(h² + k²)/2√(h² + k²)
= 6/2
= 3
RP/RS = 6√(h² + k²)/8√(h² + k²)
= 6/8
= 3/4
if qr=8x+1 and qs=20x-26 than what is rs
Answer:
Step-by-step explanation:
20x - 26 = 8x + 1
12x - 26 = 1
12x = 27
x = 27/12 = 2 3/12 = 2 1/4 = 2.25
8(2.25) + 1 + 20(2.25) - 26
18 + 1 + 45 - 26
19 + 45 - 26
64 - 26 = 38 = rs
The value of rs is 38 for the given expression.
What is a balancing equation?"A balanced equation is an equation where both sides are equal to the same amount. The answer to the expression on the left side of the equals sign (=) should be equal to the value on the right side of the equals sign".
For the given situation,
The two equations are
qr=8x+1 and
qs=20x-26
On equating these two equations,
[tex]8x+1=20x-26[/tex]
⇒ [tex]12x=27[/tex]
⇒ [tex]x = 2.25[/tex]
To find rs, we need to add both equations.
[tex]rs=8x+1+20x-26[/tex]
⇒ [tex]rs=8(2.25)+1+20(2.25)-26[/tex]
⇒ [tex]rs=38[/tex]
Hence we can conclude that the value of rs is 38.
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Pls help ASAP, I will make you brainliest (number 13.)
Answer:
Hey there!
60x=360
x=6
Let me know if this helps :)
Hi there! :)
Answer:
Formula: 60t = 360
Solved: t = 6 hours.
Given:
Speed of car = 60 mph
Total distance = 360 miles
Remember, the formula to solve for time (t) given distance (d) and speed (s) is t = d / s, or t · s = d.
Substitute in the known values, and let "t" represent the time needed:
60 · t = 360
Solve:
60t/60 = 360/60
t = 6 hours.
Choose all the fractions that are equivalent to 1/2
Fractions equivalent to 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18/ 10/20, 12/24, 14/28.
Just a couple of them above. Hope all of this helps you out
The fractions that are equivalent to 1/2 are:
2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18, 10/20.
The fractions that are equivalent to 1/2 are:
1/2 (itself)
2/4
3/6
4/8
5/10
6/12
7/14
8/16
9/18
10/20
and so on.
These fractions are equivalent to 1/2 because they represent the same value when simplified.
When the numerator and denominator are divided by their greatest common divisor, they result in the simplified fraction of 1/2.
For example, if we simplify 2/4, we divide both the numerator and denominator by 2, resulting in 1/2
Similarly, if we simplify 6/12, we divide both the numerator and denominator by 6, again resulting in 1/2. This pattern holds for all the listed fractions.
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Given that R is between S and T, find the measure of TS RS=6 TR=4.5 TS=?
Answer:
[tex]\huge\boxed{TS = 10.5}[/tex]
Step-by-step explanation:
Given that:
R is a point lying on line TS
So,
TS = TR + RS
Where TR = 4.5 and RS = 6
=> TS = 4.5 + 6
=> TS = 10.5
A beekeeper has 65,000 female bees and 700 male bees in one colony. A disease kills 25% of the female bees and 14% of the male bees. After the disease hits the colony, the beekeeper decides to sell 12 of the remaining female bees to a friend. How many total bees are left in the beekeeper's colony after the disease and sale? 13,500 bees 13 comma 500 bees 24,375 bees 24 comma 375 bees 24,977 bees 24 comma 977 bees 32,550 bees
Answer:
they will breed again
Step-by-step explanation:
bruh bruh there will be worker bee and drone bee not female or male bee
(ab? + 13b - 4a) + (3ab² + a +76)
Answer:
ab+13b-3a+3ab^2+76
Step-by-step explanation:
(ab?+13b-4a)+(3ab^2+a+76)
ab+13b-4a+3ab^2+a+76
collect like term
. -4a a
.
.
ab+13b-3a+3ab^2+76
Choose the correct order and evaluate the expression: (28÷4)×5−6+42
(28/4)*5-6+42
35-6+42
77-6
71
final answer is 71
first bracket one should be done then multily than addition and subraction.like this you get correct answer.
0.78 × 30 = ⬜ please helppp
Answer:
23.4
Step-by-step explanation:
because when you multiply 0.78 times 30 you get 23.4
HELP
Which statement is true?
The diagram represents responses to a survey that
include statements p and g.
The number of responses for which pag is 20.
The number of responses for which pv gis 26.
The number of responses for which pig is 46.
The number of responses for which pv g is 66.
q
46
0
20
Answer:
the third one
Step-by-step explanation:
46 is the common number of p and q
the sign ∩ means the intersections of 2 sets
Please answer 2 and below photo is above and show workthank you
Answer:
18.6
Step-by-step explanation:
Adding -20.4 to 39 is the same as subtracting 20.4 from 39. 39 - 20.4 = 18.6.
Answer:
See each problem number below for answers.
Step-by-step explanation:
To solve this problem, we must remember the rules of addition and subtraction. If we are adding a negative, this is the same thing as subtracting a positive number (because subtraction is defined as the addition of a negative number). In addition, if we are subtracting a negative number, the two negative signs cancel each other out, and we are left with addition of a positive number. Let's use these rules in the problems you have given.
1) 2 - (-73)
Since the subtraction of a negative is the same as addition, we can rewrite this as:
2 + 73
which is a simple computation and leaves us with:
75
2) 39 + (-20.4)
The addition of a negative is the same as subtraction, so we can rewrite this as:
39 - 20.4
which is a simple computation and yields:
18.6
3) 67.086 - (-20)
The subtraction of a negative is the same as addition (similar to problem 1)
67.086 + 20 = 87.086
4) 60 + (-19)
The addition of a negative is the same as subtraction (similar to problem 2)
60 - 19 = 41
5) 87 - 64.05
This is a simple subtraction problem, the computation gives us the answer of:
87 - 64.05 = 22.95
Hope this helps!
Check the month and dollar value that that when placed togther would form a correct ordered pair.
In April, Bob's Booksmart had a profit of $2,000. In May, the profit was $3,000 dollars. In June, the profit was $5,000.
Please I don’t understand this thank you
Answer:
55°
Step-by-step explanation:
What we have are vertical angles. Vertical angles are angles directly opposite to one another.
Importantly, the measures of vertical angles are equivalent. Thus, set the expressions to each other and solve for x:
[tex]3x+34=7x+6[/tex]
Subtract 3x from both sides:
[tex]34=4x+6[/tex]
Subtract 6 from both sides:
[tex]28=4x[/tex]
Divide everything by 4:
[tex]7=x[/tex]
Flip:
[tex]x=7[/tex]
Now, substitute this back into either of the equations since we know they are the same:
[tex]3x+34\\=3(7)+34[/tex]
Multiply:
[tex]=21+34[/tex]
Add:
[tex]=55[/tex]
So, the angle is 55°