Finding a final amount in a word problem on exponential growt...
An amount of $25,000 is borrowed for 15 years at 5.5% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be
paid back?



Answers

Answer 1

9514 1404 393

Answer:

  $55,811.91

Step-by-step explanation:

The amount with interest is given by the formula ...

  A = P(1 +r)^t

where r is the annual interest rate and t is the number of years.

  A = $25000(1.055^15) ≈ $55,811.91

The amount due at the end of 15 years will be $55,811.91.


Related Questions

Which of the following theorems verifies that triangle STU is congruent to triangle XYZ

Answers

Answer:

B. HL

Step-by-step explanation:

9
Find the height of the parallelogram (A = bh) *
(1 Point)
A = 60 cm2
5 cm
h = 8 cm h= 12 cm
H= 10 cm
H= 300 cm

Answers

Answer:

Hello! answer: 12 cm

Step-by-step explanation:

60 ÷ 5 = 12 Therefore. the height is 12 hope that helps!

An experiment has three steps with three outcomes possible for the first step, two outcomes possible for the second step, and five outcomes possible for the third step. How many experimental outcomes exist for the entire experiment

Answers

Answer:

30 experimental outcomes exist for the entire experiment.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

Three outcomes possible for the first step.

Two for the second step.

Five for the third step.

How many experimental outcomes exist for the entire experiment?

Steps are independent, so, by the fundamental counting principle:

3*2*5 = 6*5 = 30

30 experimental outcomes exist for the entire experiment.

can anyone please tell the answer of the 2 questions!!!! please!!!! ​

Answers

Answer:

1.c

2.c

here is your answer

Answer:

if you asking 9th question so answer is...

(b) is the correct answer.

I guess this may help you...

-1/5(-2 1/4)? (-1/5 x -2 1/4)=?? Brainilist

Answers

[tex] - \frac{1}{5} \times - 2 \frac{1}{4} \\ - \frac{1}{5} \times ( - 2) \times \frac{1}{4} \\ \frac{1}{5} \times 2 \times \frac{1}{4} \\ \frac{1}{5} \times \frac{1}{2} \\ \\ answer = \frac{1}{10} \\ [/tex]

Final Answer: 1/10

Alternate Forms:

Decimal: 0.1

Hope it helps

Answer:

-1/5(-2 1/4)=

Step-by-step explanation:

-1/5(-2 1/4)=1/5(2 1/4)

=1/5(9/4)

=9/20 , 0.45

If f(x) = 8x and g(x) = 2x +1 find (f o g) (x)

Answers

Answer:

(fog) (x) = 8*(2x+1)=16x+8

Step-by-step explanation:

I have had this question and the guy who answered was correct

PART A. A fruit juice recipe uses three ingredients. Two of the ingredients use a ratio of 2 ounces of pineapple juice to 5 ounces of fruit punch.Graph a line on the coordinate plane to represent this relationship.

PART B. Create an equation to represent this relationship let X represent ounces of pineapple juice. Let Y represent ounces of fruit punch. the picture is apart of Part A​

Answers

Answer:

(B) The equation of line is 5 X = 2 Y.

Step-by-step explanation:

2 ounces of pineapple juice

5 ounces of fruit punch

Other is 4 ounces pineapple juice and 10 ounces fruit punch

(A) Graph is shown below:

(B) Let X is the pineapple juice and Y is the fruit punch

(2, 5)  and (4, 10)

So, the equation of line is

[tex]Y - 5 = \frac{10-5}{4-2}\times (x -2)\\\\Y-5=2.5 (X-2)\\\\Y - 5 = 2.5 X - 5 \\\\2.5 X = Y\\\\ 5 X = 2 Y[/tex]

−5x−1=
\,\,-2x+14
−2x+14

Answers

Answer:

yeaa this is hard but i will help u if i knew what the answer was srry ma g

Step-by-step explanation:

I am Looking For help with applications of inductive reasoning
1=1*1
1+9=2*5
1+9+17=3*9

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{1\times1=1}\\\\\bullet\large\textsf{This statement is TRUE because anything times (or multiplied)\ by 1}\\\large\textsf{is mostly likely 1}[/tex]

[tex]\mathsf{1+9=2\times5}\\\mathsf{1+9=\bf 10}\\\mathsf{2\times5}\\\mathsf{= 5+5}\\\mathsf{= 2 + 2 + 2 + 2 + 2}\\\mathsf{= \bf 10}\\\\\\\bullet\large\textsf{This statement is also TRUE because BOTH NUMBERS are EQUIVALENT}\\\large\textsf{to EACH OTHER}[/tex]

[tex]\mathsf{1 + 9 + 17 = 9\times3}\\\\\mathsf{1+9+17}\\\mathsf{1 + 9 = \bf 10}\\\mathsf{\bold{10}+ 17}\\\mathsf{= \bf 27}\\\\\\\\\\\mathsf{9\times3}\\\mathsf{= 9+9+9}\\\mathsf{3 +3 +3 +3+ 3 +3 + 3 + 3+ 3}\\\mathsf{= \bf 27}\\\\\\\\\\\bullet\large\textsf{This statement as well is TRUE because BOTH NUMBERS are}\\\large\textsf{equivalent to each other}[/tex]

[tex]\boxed{\boxed{\large\textsf{ANSWER: All statements to these equations are \bf \huge TRUE}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

(08.02 MC)

A pair of equations is shown below:

y = 2x − 1
y = 4x − 5

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)

Part B: What is the solution to the pair of equations? (4 points)

Answers

Answer:

Complete y = Mx + b

Step-by-step explanation:

What is the perimeter of ABC?

Perimeter = ___ units.​

Answers

Answer:

12 units

Step-by-step explanation:

From the given figure,

AB=4 units & BC=3 units

By Pythagoras Theorem, [tex]AC^{2} = AB^{2} + BC^{2}[/tex]

Here, [tex]AC^{2} = 4^{2} + 3^{2}[/tex]

Thus, AC=5 units

Now, perimeter of triangle is equal to the sum of all sides.

Perimeter = AB + BC + AC = 4 + 3 + 5 = 12 units

Ill give brainliest

.......

Answers

He gave $100 to the local charity

Step-by-step explanation:

1/5 of 500 is 100

Answer:

$100

Step-by-step explanation:

This question asks how much of his money he gave to charity, meaning we must find 1/5 of 500. An easy way to mentally solve this is by dividing 500 into 5 separate, equal parts. This can be done by dividing 500 by 5. If you don't know what 500/5 is you can ignore the 0s for now and just divide 5/5, which is 1. Then, add the 0s back on for an answer of 100. Therefore, because 100 is 1/5 of 500 it must be the answer.

What options are available to the decision maker if the probabilities of the states of nature are unknown?

Answers

Answer:

The states of nature refer to future events, not under the control of the decision maker, which may occur. States of nature should be defined so that they are mutually exclusive and collectively exhaustive.

substituting the equation x=4y - 12 into the equation -2y= x- 6. will produce what equation?

Answers

Step-by-step explanation:

Given that,

x=4y - 12 ....(1)

And

-2y= x- 6 ....(2)

Put equation (1) in equation (2). So,

-2y= (4y - 12)- 6

-2y = 4y - 12 -6

-2y-4y = -12-6

-6y = -18

y = 3

So, substituting x=4y - 12 into the equation -2y= x- 6 will produce y = 3.

how to calculate z score

Answers

that is the equation

Mrs. Banks was just given 2mL of morphine solution. How many milligrams of morphine did she receive

Answers

Answer:

2000 milligrams

Step-by-step explanation:

You do conversion and it make sense.

Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.6.
Independently, she then decides whether or not to buy a CD, with a probability of 0.2 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.​

Answers

Answer:

Probability that she buys fruit or buys a CD or both. = 0.52

Step-by-step explanation:

Probability that she buys fruit  = 0.4

Probability that she Does not buys fruit  = 1 - 0.4  =  0.6

Probability that she buys CD  = 0.2

Probability that she does not buys CD  = 1 - 0.2 = 0.8

Probability that she buys fruit or buys a CD or both.  = 1 - Probability that she does not but either

= 1 - (0.6)(0.8)

= 1  -  0.48

=  0.52

Or Probability that she buys both = (0.4)(0.2) = 0.08

Probability that she buys fruit or buys a CD or both. = 0.4 + 0.2 -  0.08

=  0.52

Probability that she buys fruit or buys a CD or both. = 0.52

Suppose we want to write 2/3 as an equivalent fraction with a denominator of 15. What number must we multiply both the numerator and the denominator by?

Answers

Answer:

5

Step-by-step explanation:

Use the Binomial Theorem to find the indicated coefficient or term.

The 3rd term in the expansion of (5x + 2) 3

Answers

Answer:

ans: coefficient of 3rd term is 60

3rd term is 60x

Step-by-step explanation:

(5x +2)³ = C(3,2) × (5x)^(3-2) × 2²

= 3 × 5 × 4 × x

= 60x

If a = 5, then what is the value of -(-a)?

Answers

Answer:

5

Step-by-step explanation:

It will remain 5 because two negatives make a positive.

-(-5) = 5

Hope this helps.

Answer:

5 ( REMEMBER TWO NEGATIVES MAKE A POSITIVE)

Step-by-step explanation:

When there is a - in front of an expression in parentheses, change the sign of each term in the expression 5

HELP PLEASE!!! LOL PLEASE!

Answers

Answer:

thats is the answer write it yourself and learn math

Which line segment is only a chord of F

Answers

df sorry is i wrong

The perimeter of a is 99 ft, and the lenght is twice the width. What are its dimensions?

Answers

Answer:

no

Step-by-step explanation:

no no no no no no no no no no no no no no no no no no no

If an envelope + stamps cost $1.10.if the stamps costs $1 more than the envelope.what is the cost of the envelope in cents.

Answers

Answer:

100 cents

I think

Answer: 1.05

Step-by-step explanation:

Let x be the envelope

    y is stamp (1)

==> x+y= 1.10 ($)

the stamps costs $1 more than the envelope, so

x-y=1 --> x=y+1, instead of wards (1), we get

y+1+y= 1.10 -> 2y+1=1.10

                    ->y= 0.05 -> x= 1.05

A map has a scale of 2 cm: 15 miles. The actual distance, x, from point A to point B, if these two points are 16
centimeters apart on the map, is
O 85 miles
O 120 miles

Answers

Answer:

120 miles

Step-by-step explanation:

2 cm / 15 miles = 16 cm / x           Cross multiply

2x = 15 * 16

2x = 240                                       Divide by 2

2x/2 = 240/2

x = 120 miles

Please help song for b​

Answers

64 degrees

90 degrees minus 26 degrees

90-26=64

The volume of a cone is 48 cm3 and the height of the cone is 10 cm. Find the radius.

Answers

Answer:

6.7cm

Step-by-step explanation:

Given data

Volume= 48cm^3

Height= 10cm

The expression for the volume of cone is

Volume= 1/3πr^h

Substitute

48= 1/3*3.142*r^2*10

48= 10/9.426*r^2

cross multiply

48*9.426= 10r^2

452.448= 10r^2

divide both sides by 10

452.448/10= r^2

45.2448= r^2

square root both sides

r= √45.2448

r= 6.7cm

Hence the radius is 6.7cm

True or false: Is 8.4 equal to 8 hours and 40min? Moreover, What would be the hour and min for 8.9? Explain thoroughly

Answers

Answer: I only have an answer for the first question, but I think its true .

I'm not sure though so I would clarify it .

Step-by-step explanation:

The reason why I think its true because, 8.4 is also equal to 8.40 . Also, if 8.4 was the answer to something and you put: 8.40 you would still be right .

Hope you get this right!

What is the 22nd term in the sequence: 5, -10, 20, -40, 80......?

Answers

Answer:

-10,485,760

Step-by step:

you have to find the pattern which in this case every other positive number is multiplied by 4, as well as the negatives which is multiplied by 4 aswell.

When you go through writing down every number the 22nd one is -10,485,760

Which choice is equivalent to the product below for acceptable values of x?
√x+3. fx-3

Answers

Answer:

B

Step-by-step explanation:

Which choice is equivalent to the product below for acceptable values of x?

√x+3. fx-3

The answer is "B"

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