Mathematics Middle School

If you invest $3,900 at a 7.83% simple annual interest rate, approximately how long will it take for you to have a total of $10,000?
a.
12 years
b.
15 years
c.
20 years
d.
30 years

Answers

Answer 1
It's c 20 years hope this helps:)
Answer 2

we know that

The simple interest formula is equal to

[tex]A=P(1+rt)[/tex]

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=?\ years\\ P=\$3,900\\ A=\$10,000\\r=0.0783[/tex]

substitute in the formula above

[tex]10,000=3,900(1+0.0783t)[/tex]

Solve for t

[tex]10,000/3,900=(1+0.0783t)[/tex]

[tex](10,000/3,900)-1=0.0783t[/tex]

[tex]0.0783t=1.5641[/tex]

[tex]t=1.5641/0.0783[/tex]

[tex]t=19.98\ years[/tex]

therefore

the answer is the option C

[tex]20\ years[/tex]

Related Questions

a concrete patio is 5 2/3 feet wide. it has an area of 36 5/6 square feet. Is the concrete slab long enough to fit a 7 foot picnic table without placing the table along the diagonal of the patio? Explain

Answers

Answer:

No

Step-by-step explanation:

W are given that a concrete patio is [tex]5\frac{2}{3}[/tex] feet wide

and area of of concrete patio is [tex]36\frac{5}{6}[/tex]

We have to find out the length of concrete slab is 7 foot or not.

We know that area of rectangle =[tex]l\timesb[/tex]

Let length of concrete patio =x foot

Breadth of concrete patio =[tex]\frac{17}{3}[/tex] feet

Area of concrete patio =[tex]\frac{221}{6}[/tex]

Using formula

[tex]\frac{221}{6}=\frac{17}{3}\times x[/tex]

[tex]\frac{221}{6}\times \frac{3}{17}=x[/tex]

[tex]x=\frac{13}{2}[/tex] foot=6.5 foot

Hence, length of concrete slab is 6.5 foot not 7 foot.Therefore, 7 foot picnic table will no fit.

The concrete slab is not long enough to fit the picnic table.

The concrete patio is in the shape of a rectangle. A rectangle is an object that has four sides. The diagonal is the length from angle of the rectangle to the other angle of the rectangle.

The area of a rectangle = length x width

length = area / width

[tex]36\frac{5}{6}[/tex] ÷ [tex]5\frac{2}{3}[/tex]

Convert to improper fractions

[tex]\frac{221}{6}[/tex] ÷[tex]\frac{17}{3}[/tex]

[tex]\frac{221}{6}[/tex] x [tex]\frac{3}{17}[/tex] = [tex]\frac{13}{2}[/tex]

length = 6.50 feet

The length of the patio is less than the length of the picnic table.

A similar question was answered here: https://brainly.com/question/6636974?referrer=searchResults

Which word in the sentence is an intensive pronoun?

Ned himself finished the jigsaw puzzle that he and his sister had started.



A.
he


B.
himself


C.
his


D.
that

Answers

The answer would be B.himself

Answer:

b. Himself

Step-by-step explanation:

The formula I = PRT where I = Interest, P = principal, R = rate, and T = time is used to calculate the amount of simple interest earned. Solve this formula for T.

T = I + PR
T = I – PR
T = I divided by the quantity P times R
T = IPR

Answers

Well, this is simple.
I=PRT
(Interest= Principle*Rate*Time)
So, simply divide both sides by PR
T=I/PR

Your answer is C: T = I divided by the quantity P times R
(This should have been represented as: T= I/PR)

~Hope this helps m8

Answer:

C

Step-by-step explanation:

4 times a number added to -5 is the same as the sum of twice the number and 11. What is the number?

Answers

Let x = the number you need to find.

4x + (-5) = 2x + 11

You finish.

can someone plz help me.

Answers

is there more than one answer to the problem. if so can I see them.

find the next three terms in this sequence 1,4,9,16,25

Answers

1,4,9,16,25
3 5 7 9 ...
The next 3 terms are 36, 49, and 64.


Hope this helps!
These are perfect squares
1,4,9,16,25,36,49,64,81,100...


The triangle below has a total perimeter of 450 cm:

picture of a triangle with sides 128 and 150. Third side unknown

Write an equation and solve it to find the length of the longest side of the triangle.

Answers

The third is 450-(128+150)=450-150-128=300-128=172
So the longest side is 172 cm

Which equation supports the given conjecture? 

The difference of two odd numbers is an even number.



 
A.
23 – 19 = 4


 
B.
16 – 10 = 6


 
C.
17 – 12 = 5


 
D.
3 + 5 = 8

Answers

Your answer is A because since 23 and 19 are odd numbers and 4 is even, 23-19 is the difference of two odd numbers.





hope this helped ^_^
~nana!~

what is 0.167 in a fraction

Answers

0.167 = 167/1000 as a fraction

hope this helps
167/1000 is the fraction

A student claims that the equation y=7 is not a linear equation because it does not have the form y=mx+b. Do u agree or disagree? Why?

Answers

I disagree, the equation is in y=mx+b form. The slope, or m, is 0, so the equation is y=0x+7. That simplifies to y=7.
Plz mark me brainliest!
Hope this helps!
Disagree, because you are marking all values that are equal to y=7, the slope in this equation is 0 because this is also equal to y=0x + 7

4ax+by=3 , 6ax+5by=8

Answers

1. x=3-by/4a
2. x=8-5by/6a

3/9X18=? 7X3/4=? PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

first one is 6

3/9 is 0.3333333333 0.333333333× 18 is 6

second one is 5.25

7×3 is 21 21 /4 is 5.25
6 and 5 1/4.

Hope this helps,
♥Nikki♥

vicki drives to and from the gym 2 days a week. The distance from her home to the gym is 13 miles. Over the course of 2 days, her car uses 1/8 of a tank of gas. Complete each sentence. Vicki drives a total of blank mi a week. To find the total number of miles that Vicki can drive with 1 tank of gas, she can blank by 18 .

Answers

Vicki drives a total of 52 miles per week (There and back is 26 miles and she does it twice a week)
Hello There!

Vicki drives a total of 52 miles a week. To find the total number of miles vicki can drive with one tank of gas, she can divide by 18.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

Relationship B has a greater rate than Relationship A. This graph represents Relationship A.

Which equations could represent Relationship B?

Select each correct answer.

y = 3x

y = 1.4x

y = 2.2x

y=12x

Answers

Answer:

Step-by-step explanation:

Answer:

y=2.2x

y=3x

Step-by-step explanation:

Took the test and got it correct

For f(x) = 5x +1 , find f(-4)

Answers

substitute -4 for x
This means 5(-4)+1
Which is equal to -19
f(-4)= 5(-4)+1
= -20+1
= -19
option A is correct

write 19/25 as a decimal fist person to answer the question correctly is going to be the brainliest

Answers

0.76 is the correct answer.
So basically to change this to a decimal, you want to first change the denominator to 100. You can do this by multiplying the fraction by 4/4, which is still 1, but just with a denominator of 4.

19/25 * 4/4 = (19*4) / (25 * 4) = 76 / 100

So now you can just convert this to a decimal, and say 0.76.

A package of dried fruit weighs 1/2 of a pound if one serving size is 1/8 of a pound how many servings would be in the package

Answers

4 because 1/8 goes into 1/2 4 times. 1/2 divided by 1/8 equals 4. 1/8 times 4 equals 1/2.

The weight of an elephant is 1000 times the weight of a cat. If the elephant weighs 14,000 pounds how many pounds does the cat weigh

Answers

To solve this problem, all you have to do is 14,000/1,000, which is 14, because the elephant weighs 14,000 lbs and the cat is 1/1000 of that weight. The cat weighs 14 pounds.
weight of the elephant= 1,000x
x= weight of the cat
14,000=1,000x
x=14 pounds is what the cat weighs. 
Check: 14*1,000= 14,000

What is the length of AC¯¯¯¯¯ ?





Enter your answer in the box.

Answers

isosceles triangle
so
AB = BC
x + 4 = 3x - 8
3x - x = 4 + 8
2x = 12
  x = 6

AC = x  = 6

The length of [tex]AC[/tex] is [tex]6[/tex].

Given:

In triangle [tex]ABC, \angle A\cong \angle C,AB=x+4,BC=3x-8,AC=x[/tex].

To find:

The length of [tex]AC[/tex].

Explanation:

In the given triangle, two angles are congruent and we know that the base angles of an isosceles triangle are congruent. It means the triangle [tex]ABC[/tex] is an isosceles triangle with [tex]AB=BC[/tex].

[tex]x+4=3x-8[/tex]

[tex]x-3x=-4-8[/tex]

[tex]-2x=-12[/tex]

Divide both sides by [tex]-2[/tex].

[tex]x=6[/tex]

Now,

[tex]AC=x[/tex]

[tex]AC=6[/tex]

Therefore, the length of [tex]AC[/tex] is [tex]6[/tex].

Learn more:

https://brainly.com/question/24262350

At the ice cream shop there are 14 shakes sold for every 6 malts. What is the ratio of malts to shakes?

Answers

i would believe it would be 6:14

HELP ASSAPP WITH THIS QUESTION

Answers

105 degrees is the answer

i THINK 105? sorry if I'm wrong

of 60 books on a bookself, 24 are nonfiction what percent of the books are not nonfiction?

Answers

Of 60 books on a bookshelf, 24 are nonfiction what percent of the books are not nonfiction?
40% of the books are nonfiction which means 60% of the books on the bookshelf are not nonfiction.











































































the number of students enrolled at a college is 15,000 and grows 4% each year

Answers

I am not sure the question that you are asking here but I may be able to help you out. To figure out how many physical students that the college gains you have to multiply 15000 and 4%. However, you have to make the 4% into a decimal. In order to do that, you have to move the decimal place two places to the left. This would make 4% into 0.04. When you multiply 15000*0.04, you get 600. Then you go from there to answer whatever question you wanted answered.

The words regarding growth factor for the given blanks are a) 15000, b) 0.04, 1.04, c) 15000 × 1.04 and d) y = 15000(1.04)ˣ

What is growth factor?

The growth factor refers to a specific part of an exponential function. This is the base of an exponential function.

Given is a black statement, we need to find the words to be filled in them,

a) The number of students enrolled at a college is 15,000 and grows 4% each year,

Since, the number of students at time of enrollment is 15000, therefore, the initial amount = 15000

b) The percent rate of change is 4%, so the growth factor b is 1 + ______ = ______

Here, the percent rate of change is for growth, therefore,

the growth factor = 1 + 0.04 = 1.04

c) To find the number of students enrolled after one year, you calculate

15,000....

To find the number of students after one year = 15000 × 1.04

d) Complete the equation y = ?

The equation for the same will be  =

y = 15000(1.04)ˣ

Hence, the words regarding growth factor for the blanks are a) 15000, b) 0.04, 1.04, c) 15000 × 1.04 and d) y = 15000(1.04)ˣ

Learn more about growth factor, click;

https://brainly.com/question/9814787

#SPJ2

Fred had $165 dollars to get a shirt ,he got a 15% discount and and additional sales tax of 7,5%.what's his total?

Answers

150 in total, correct me if I am wrong...

Whenever she visits Oakdale, Karin has to drive 55 kilometres due north from home. Whenever she visits Brookfield, she has to drive 48 kilometres due east from home. How far apart are Oakdale and Brookfield, measured in a straight line?

Please show work <3

Answers

sorry it is a bit messy but the answer is right
here it is, just use pitagorean theorem, because it's a right triangle

If Sawyer makes $15 an hour, which equation represents his earnings? Question 1 options: W = 15h W = 15/h W = h/15 W = 15 + h

Answers

the first one is the answer w=15h

What is the justification for each step in solving the inequality? -5(4x+6<-18x+6+4x

Answers

Hi there!

Everything looks correct except for the step to get to -6x < 36. Here you put multiplication property of order, and to get here you have to add 30 to both sides, so it would actually be the addition property of order.

I hope I helped!

1.9r+0.1r=0.6 what s the value of r

Answers

0.3. Add 1.9 and 0.1 which equals 2r. Then divide two by both sides and you get 0.3.

after simpiflying an equation, Juana gets 6=6. explain what this means

Answers

this means that Juana's strategy for simplifying the equation is correct. if both sides of the equation are equal to each other, it is correct.
Yeah I agree with gabriella

Simplify each expression by distributing and combing like terms
-9(m+2)+4(6-7m)

Answers

-9(m+2)+4(6-7m)
= -9m - 18 + 24 - 28m
= -37m + 6
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