The total balance he will have in the accounts at the end of 2 years
is D. $870.88.
What are simple and compound interests?Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.
Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
The formula for simple interest is SI = (p×r×t)/100 and the formula for compound interest is A = P(1 + r/100)ⁿ.
∴ P + (p×r×t)/100 + P(1 + r/100)ⁿ is the total amount after 2 years.
= 450 + (450×4.5×2)/100 + 350(1 + 4.25/100)².
= 450 + 40.5 + 350(1.0425)².
= 490.5 + 380.38.
= $870.88.
learn more about compound interest here :
https://brainly.com/question/19090581
#SPJ2
The value of x in the expression
2x/3 - 7 = 5 is
Answer:
The answer is X = 18
Step-by-step explanation:
2x/3 - 7 = 5
Multiply both sides if the equation by 3 : 2x - 21 = 15
Move the constant to the right hand side and change its sign : 2x = 15 + 21
Calculate 2x = 15 + 21
2x = 36
Divide both sides of the eqaution by 2 : 2x = 36
x = 18
Answer X = 18
what is the image of the point (2,-3) after a rotation of 180 degrees counterclockwise about the origin ?
Answer:
is is on the x acsess 2 and go down to -3. Hope this helped!
Step-by-step explanation:
Go to the x acsessw and go to 2 go down to -3 and mark
pls pls help i will give brainliest
Answer:
give me a brainliest now
Step-by-step explanation:
A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
Answer:
13.8 ounces of salt
Step-by-step explanation:
A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
Step 1
Note that:
1 shaker = 0.6 ounces of salt
8 shakers = x
Cross Multiply
x = 8 × 0.6 ounces of salt
x = 4.8 ounces of salt
Step 2
The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
This is calculated as:
18.6 ounces of salt - 4.8 ounces of salt
= 13.8 ounces of salt
5. It is known that 15% of the seniors in a large high school enter military
service upon graduation. If a group of 20 seniors are randomly selected,
what is the probability of observing two who will be entering military
service? *
Answer:
Hope this helps you. Do mark me as brainliest.
The probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.
What is a Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
As it is given that 15% of the seniors in a large high school enter military
service upon graduation. Therefore, the probability of a large high school entering the military services will be 0.15. Similarly, the probability of a senior from a large high school not joining entering the military can be written as,
[tex]q = (1-p)\\\\q = 1-0.15\\\\q=0.85[/tex]
Now, the probability of 2 seniors out of 20 serving in the military will be,
[tex]P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(20-2)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(18)}[/tex]
Hence, the probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.
Learn more about Binomial Distribution:
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The measure of an angle is 53°. What is the measure of its supplementary angle?
Answer:
127
Step-by-step explanation:
if it is supplementary it =180
if it is complimentary it =90
so 180-53= 127
Area and perimeter pls
Perimeter 97.24
90 + 5 + 2.25
Area 1008
90 * 5 * 2.24 = 1008
Which property can be used to expand the expression -2(3/4x+7)
A. The associative property
B. the commutative property
C. the distributive property
D. the additive identity property
P.S. the 3/4 is three-fourths not division.
Answer:
B. the distributive property
Step-by-step explanation:
Distributive property can be used to expand the expression -2(3/4x+7).
When that property is used, we need to distrubute the monomial to the binomial which is the two terms.
[tex] - 2( \frac{3}{4} x + 7) \\ \Longrightarrow \boxed{- 2( \frac{3}{4} x) + - 2(7)} [/tex]
#BrainliestBunch
Answer:
b
Step-by-step explanation:
The city council in Middle field wants to know if residents are in favor of a traffic camera at the main intersection in town. Drag tiles to match each term to the example it best describes. Each tile may be used only once
Answer:
Representative example
Population
Not a Representative example
Answer: Drivers who reside in Middle field : NOT a Representative Sample
Residents of Middle field : Population
Residents randomly chosen from the town register : Representative Sample
Step-by-step explanation:
This is the actual correct answer
330 is 16.5% of what (x) value?
Answer:
= 5 Percent
Step-by-step explanation:
PLS HELP ASAP! GIVING BRAINLIST
Answer:
f(x)=(3x+6)(x-2)
Step-by-step explanation:
(3x+6)
(x-2)
If 3x + y +4- (y + 6) = 14 + x, what is the value of x?
2
3
6
8
*PLEASE ANSWER!!!*
What can you create to help you make a plan on how to spend your money?
a.) A tax form
b.) A deposit
c.) A budget
Answer:
c
Step-by-step explanation:
A budget
hope this helps
How would the graph of f(x) = −3(x + 2)^2 − 5 be affected if the function was changed to f(x) = 1/2(x − 2)^2 − 5? Select ALL that apply.
1) It would change from opening up to opening down.
2) It would change from opening down to opening up.
3) It would shift four units to the right.
4) It would shift four units to the left.
5) It would shift four units up.
6) It would shift four units down.
7) It would become wider.
8) It would become narrower.
Answer:
This will be your answer. I hope this helps, good luck! :)
Jill can run 5 miles in 45 minutes. If she keeps the same pace, how long will it take her to run 18 miles?
Answer:
T = 162 minutes
Step-by-step explanation:
Given that,
Jill can run 5 miles in 45 minutes.
We need to find how long will it take her to run 18 miles.
[tex]5\ miles =45\ minutes\\\\1\ mile=(\dfrac{45}{5})\ minute\\\\1\ mile =9\ minute[/tex]
So,
18 miles = (18×9) minutes
= 162 minutes
Hence, 162 minutes will be taken by her to run 162 minutes.
R is a supplement of S, S is a complement of T, and mT = 72º . Find mR – mS.
Step-by-step explanation:
complementary angle is 90 degrees
so angle t and s are complementary
measure of angle t is 72 degrees
so measure of angle s will be 90 degrees minus 72 degrees which gives 18 degrees
so measure of angle s is 18 degrees
angle r and angle s are supplement which means their sum is 180 degrees
so measure of angle r will be 180 minus 18 which gives 162
so measure of angle r is 162 degrees
we need to find measure.of angle r minus measure.of angle s
so 162 minus 18 which gives 14r
In creating a new scale for the mercury thermometer, Anders Celsius initially set the boiling point of water at _____.
Answer:
100°
Step-by-step explanation:
Anders Celsius used centigrade temperature scale along with mercury thermometers with a fixed boiling point of water at zero, he also used a fixed freezing point of water at the mark of 100-degree. This new scale was described in the year 1742 to Swedish Academy of Sciences.
Answer:
100 percent
Step-by-step explanation:
edge 2021
3(3y - 10) = 6 I need the answer please
Answer:
If you wanted to simplify the equation:
9y - 30 = 6
If you wanted to solve for y:
y = 4
Step-by-step explanation:
3(3y - 10) = 6
9y - 30 = 6
Add 30 to both sides of the equation:
9y - 30 + 30 = 6 + 30
Simplify:
9y = 6 + 30
9y = 36
Divide both sides of the equation by 9:
9y ÷ 9 = 36 ÷ 9
Cancel terms that are in both the numerator and denominator:
y = 36 ÷ 9
y = 4
Is 7 asolution for the equation 2x + 12=3x +(-2x + 5)
Answer:
No
Step-by-step explanation:
2X + 12=13x - 2x + 5
2X + 12= 11x+5
2x-11x = 5-12
-9x = -7
X = 7/9
so the answer is NO
HELP ILL GIVE 50 POINTS.!!
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 3)(0,3) and (5, 3072)(5,3072).
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2 Divide both sides by b2
2b = 4 a = 2/4 = 1/2
b = 2
y = 1 (2)x
2 hopefully this helped.
Answer:
y=3(4) x
Step-by-step explanation:
find area of circle
Answer: 75 ft^2
Step-by-step explanation:
Radius is half of the diameter. Diameter is given as 10.
3 (5)^2
3 x 25 = 75 ft^2
An albatross is 5 meters above the surface of the ocean. How does its distance from the surface compare to the vertical distance from the eyes of: The jumping dolphin? The flying seagull? The octopus?
Answer:
The jumping dolphin -- changes
The flying seagull -- same
The octopus -- same
Step-by-step explanation:
The distance of the Albatross from the sea surface when compared to the vertical distance from the eyes of the :
The jumping dolphin :
As the dolphin jumps out from the sea, the vertical distance of the albatross from the surface seems to be decreasing and then increasing as seen by the jumping dolphin.
The flying seagull :
The distance of the albatross is at the same height as seen by the seagull since it is flying at the same level, i.e. at the level of the sea surface
The octopus :
The octopus remains at the same depth below the water surface. So the distance of the albatross for the octopus remains the same at 5 m above the ocean surface.
What is an equation of the line that passes through the point ( − 1 , − 3 ) and is perpendicular to the line x − 2 y = 14?
Answer:
y = -2 -5
Step-by-step explanation:
x - 2y = 14
-2y = -x + 14
y = 1/2x - 7
-3 = -2 (-1) + b
-3 = 2 + b
-5 = b
y = -2 -5
I need help with this someone please
What angles are adjacent ?
Answer:
Angle number 5 is adjacent to angle psl
PLEASE HELP!! desperate!
Solve this;
a number cube has sides numbered 1 through 6 the probability of rolling a 2 is 1 out of 6
Yes, that is a correct statement.
But im left wondering what is the darn question
If f(x)=x^3-12x^2+35x-24f(x)=x 3 −12x 2 +35x−24 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.
Answer:
The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
Step-by-step explanation:
Given
[tex]f(x)=x^3-12x^2+35x-24[/tex]
[tex]f(8) = 0[/tex]
Required
Find all zeros of the f(x)
If [tex]f(8) = 0[/tex] then:
[tex]x = 8[/tex]
And [tex]x - 8[/tex] is a factor
Divide f(x) by x - 8
[tex]\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}[/tex]
Expand the numerator
[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}[/tex]
Rewrite as:
[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}[/tex]
Factorize
[tex]\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}[/tex]
Expand
[tex]\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}[/tex]
Factorize
[tex]\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}[/tex]
[tex]\frac{f(x)}{x - 8} = (x - 1)(x - 3)[/tex]
Multiply both sides by x - 8
[tex]f(x) = (x - 1)(x - 3)(x - 8)[/tex]
Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
can you please help me with this question
Answer:
your answer will be 1
Step-by-step explanation:
[tex]Tan (-135)\\\\=-Tan 135\\\\-Tan(90+45)\\\\-(-co+45)\\\\+co+45\\\\=1[/tex]
hope it helps
Divide 1 hour in the ratio 1 : 9 : 10
3 minutes; 27 minutes; 30 minutes
0.05 minutes; 0.45 minutes; 0.5 minutes
30 minutes; 27 minutes; 3 minutes
Answer:
3 minutes; 27 minutes; 30 minutes
Step-by-step explanation:
Let the common multiplier of the given ratios be x. So, the ratios 1: 9 : 10 will become x, 9x and 10x respectively.
Therefore,
[tex]x + 9x + 10x = 1 \: hour \\ \\ 20x = 60 \: minutes \\ \\ x = \frac{60 \: minutes}{3} \\ \\ x = 3 \: minutes \\ \\ 9x = 9 \times 3 = 27 \: minutes \\ \\ 10x = 10 \times 3 = 30 \: minutes[/tex]
Thus, 1 hour in the ratio 1 : 9 : 10 can be divided as:
3 minutes; 27 minutes; 30 minutes