Answer:
The amount of money in the account after t years is given by: [tex]A(t) = 5000(1.015)^{4t}[/tex]
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Invested $5000 at 6% per year and is compounded quarterly
This means, respectively, that [tex]P = 5000, r = 0.06, n = 4[/tex]
So, the amount of money in the account after t years will be given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 5000(1 + \frac{0.06}{4})^{4t}[/tex]
[tex]A(t) = 5000(1.015)^{4t}[/tex]
A science class has 5 girls and 7 boys in the seventh grade and 5 girls and 5 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both boys?
Write your answer as a fraction in simplest form.
We have a total of 10 boys & 8 Girls, then the sample space consist of 18 elements.
P(selecting 1 boy) = (total number of boys/by 18) = P(boy)=10/18=5/9
someone help me plz!!
Answer: x=15
Step-by-step explanation:
Since these are supplementary angles, we know that if we add them together we would get 180 deg. so....
(7x-10)+ (6x-5)=180
Kay so now we can combine like terms.
13x-15=180
Now we can add 15 to both sides.
13x=195
Finally Divide 13 on both sides.
X would then now equal 15.
Create a word problem with the equation x=y^3
Answer:
Find the value of y if x is equal to y^3. Hope it helps (not completly sure of the answer though)
I am very confused about this
Answer:
Area of triangle = 1/2 b×h1/2×22×7 = 77cm^2Area of parallelogram = b×hArea = 22×9= 198cm^2Total area of composite figure77cm^2 + 198cm^2= 275cm^2Answer:
Triangle: 77
Parallelogram: 198
Total: 275
Step-by-step explanation:
The area of a triangle is one half the base times the height.
[tex]A_{T}=\frac{1}{2}bh=\frac{1}{2}(22)(7)=77[/tex]
The area of a parallelogram is base times height.
[tex]A_{P}=bh=(22)(9)=198[/tex]
The total area is the sum.
77+198=275
If the numerator of a fraction is increased by 3, the fraction becomes 3/4.If the denominator is decreased by 7,the fraction becomes 1. Determine the original fraction.
Answer:
9/16
Step-by-step explanation:
Let the original fraction be
x/y
Then
x+3/y=3/4
and
x/y-7=1
Look at 2nd fraction, rearrange it such that you multiply by "y-7" on both sides
x=y-7
Substitute this into 1st fraction:
x-7+3/y=3/4
Now we can solve this for y: cross-multiply --> (Note: y-7+3 = y-4)
4(y-4)=3y
y=16
Sub this back into "x = y-7" to get x
x=16-7=9
Therefore the original fraction is:
9/16
HELPP
Find the value of a.
A)3
B)4
C)6
D)9
Answer:
using
h²=p²+b²
3is your answer
a²=5²-4²
a=√9=3
Adam invests £520 into an savings account.
Adam gets 0.5% per year simple interest.
Work out the total interest Adam will get after 5 years.
Answer: 1300 i think
Step-by-step explanation:
Adam invest 250 into account and then he gets 0.5% interest, that means he has to multiply 250 by 0.5% and then multiply again by five because of the five years.
PLZ HELP ME WILL MARK BRAINLIST AND 50 points IF THE ANSWER IS CORRECT!!!
Answer for the question:
It is B.
Help, will give brainiest!
Use the drop-down menu to complete the statement.
The quotient of 3 divided by 3/4 is ___
(1) 3
(2) 4
(3) 9
(4) 12
Answer:
The answer is (2) 4
Step-by-step explanation:
Give brainliest
5,576 divided by 92~
The answer is 60.61 when you divide 5576/92
there should be 200g of nuts for every 50g of nuts what will be the amount of fruits if there are 500g of nuts
Answer:
125
Step-by-step explanation:
find the area of the given polygon.
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Answer:
88 square inches
Step-by-step explanation:
The figure can be divided into two congruent trapezoids, each with bases 7 and 4 inches, and height 8 inches. Then the total area is ...
A = 2(1/2)(b1 +b2)h
A = (7 +4)(8) = 88 . . . . square inches
Let's say you have a bag with 16 cherries, 4 sweet and 12 sour. If you pick a cherry at random, what is the
probability that it will be sweet? Write your answer as a reduced fraction.
Answer:
4/16
is =
1/4
:) Brainiest please
Answer:
1/4
Step-by-step explanation:
find f(-2) for the function f(x)=5x+14
Answer:
f(-2)=(-11)
Step-by-step explanation:
f(-2)=5(-5)+14
=(-25)+14
=(-11)
I need help pls this is really hard
Graph on a number line. x≥-4
Answer
Circle is filled in because it is greater than or EQUAL to. The arrow goes to the right because it is greater than -4
Please solve this thank you :)
Answer:
Scale= 3 x=9 y=15
Step-by-step explanation:
Which of the following is true concerning the expression 6x + 3 + x? 6x and 3 are like terms. B 6x and x are like terms. C The simplified form of the expression is 6x + 3. D The simplified form of the expression is 10x.
Answer:
Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.
Step-by-step explanation:
Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.
Answer:
9 is the answer because it is the answerr
Elena drank 5 bottles of water over 7 volleyball practices. How much water did Elena drink each practice if she drank the same amount each time?
Please have good explanation
Answer:
Step-by-step explanation:
If you would like to know how much water did Elena drink each practice if she drank the same amount each time, you can calculate this using the following steps:
5 bottles of water ... 7 practices
x bottles of water = ? ... 1 practice
5 * 1 = 7 * x
5 = 7 * x /7
x = 5/7 bottle of water
The correct result would be 5/7 bottle of water.
Please help F + g (1)
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Answer:
a) -13
b) -22
Step-by-step explanation:
It can be convenient to compute the function values first:
f(1) = 1² -14·1 = -13
g(1) = 1 +8 = 9
Then the compositions are ...
(a) (f+g)(1) = f(1) +g(1) = -13 +9 = -4
(b) (f-g)(1) = f(1) -g(1) = -13 -9 = -22
Help!! ALGEBRA. HELP PLEASE
Answer:
1. x=15
2. x=128
3. x=47
4. x=21
25 + (98-7) x4 PLEASE HELP
Answer: The answer is 464
Step-by-step explanation:
Bc you do 98-7=91, Then you do 25+91*4, Next Do 25+91=116, Last you 116*4= 389 and If this is wrong use a Calaculator Ok
_ Mhart7109
If AC = 14, what is the measure of AD? Round your answer to the nearest hundredth.
Part A
Answer: Choice D) [tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}[/tex]
-----------------------------------------------
Explanation:
Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3
Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3
Apply the pythagorean theorem to find hypotenuse AD
[tex](\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\[/tex]
This points to choice D as the final answer.
===========================================================
Part B
Answer: 7.07-----------------------------------------------
Explanation:
If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.
Since AE = 2n+5, we can solve for n like so
2n+5 = 7
2n = 7-5
2n = 2
n = 2/2
n = 1
Then we can find the length of AD
[tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\[/tex]
Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.
Which expression is equivalent to 5 (n - 9)?
A) 5n - 45
B) 5n + 45
C) 5n - 9
D) 5n + 9
Answer:
[tex]A= 5n-45[/tex]
Step-by-step explanation:
Can u gimme brain plz!
Jill drove her car for 7 days across the country. She travelled 525 miles. If she continues this pace, how many miles will she have driven after 12 days?
Answer:
900 miles
Step-by-step explanation:
In 7 days she travels 525 miles.
So, in 1 day she travels: 525 ÷ 7 = 75miles
In 12 days she will have driven : 75 × 12 = 900 miles
Step-by-step explanation:
of at 7days Jill drove 525 miles
then she would drive x Miles in 12 days
7d = 525 miles
12 d = (12 ×525)/7
900 miles
Please help
The slope of a line determines the direction the line is traveling from left to right.
True o false?
Answer:
True
Step-by-step explanation:
The slope both the steepness and the direction of the line
lus
Solve for x.
x = [?]
2x+16,
4x - 16
Enter
Answer:
i got x= 16/165
Step-by-step explanation:
Jason´s aunt gave to him some money. He could choose between 15% of
$1,500 or 25% of $1,000. Which amount is the better deal for Jason ?
por fa es urgente :((((
Answer:
25% of $1,000
Step-by-step explanation:
.15 * $1,500 = $225
.25 * $1,000 = $250
The width of a rectangle is 4n - 4.5 feet and the length is 4.5n + 9 feet. Find the perimeter of the
rectangle.
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Answer:
17n+9 feet
Step-by-step explanation:
The perimeter of a rectangle is twice the sum of length and width.
P = 2(L +W)
P = 2((4.5n +9) +(4n -4.5)) = 2(8.5n +4.5)
P = 17n +9
The perimeter of the rectangle is 17n +9 feet.
The longer coffee sits on a desk, the cooler it becomes.
True or False? The length of time on the desk is a function of the temperature
of the coffee.
A. True
B. False
Answer:
I believe its B False
Answer:
A
Step-by-step explanation: