MATHEMATICS MIDDLE SCHOOL

A bank offers a CD that pays a simple interest rate of 6%. How much must you put in this CD now in order to have $11 comma 700 to replace all the windows in your house in 5 years?

Answers

Answer 1

Answer:

Answer:

You should invest US$ 9,000 in the CD to replace all the windows in your house.

Step-by-step explanation:

Let's recall that the simple interest formula is:

A = P * (1 + r * t), where,

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

Replacing with the real value, we have:

11,700 = P * (1 + 0.06 * 5)

11,700 = P * (1.3)

P = 11,700/1.3

P = 9,000

You should invest US$ 9,000 in the CD to replace all the windows in your house in 5 years.

Answer 2

Answer:

Final answer:

To calculate the initial deposit for a CD with a 6% simple interest rate in order to have $11,700 in 5 years, you can use the simple interest formula. The formula is rearranged to solve for the initial deposit amount: P = I / RT, where 'P' is the initial deposit, 'I' is the desired amount, 'R' is the interest rate, 'T' is the CD term.

Explanation:

The subject of the question is about how much initial deposit you must put into a CD with a simple interest rate of 6% in order to have $11,700 in 5 years. You can find this out by using the formula for simple interest, which is I = PRT. 'I' is the interest, 'P' is the principal amount (what you want to find out), 'R' is the rate of interest, and 'T' is the time in years.

Since you want to find out 'P' (the principal amount), you'd rearrange the formula to P = I / RT. Now you substitute 'I' with $11,700, 'R' with 0.06 (6% expressed as a decimal), and 'T' with 5 years. So, P = $11,700 / (0.06 * 5). From this calculation, you'll be able to determine how much money you need to deposit now into your CD to reach your goal.

Learn more about simple interest here:

brainly.com/question/32543341

#SPJ3

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1.A farmer has 4000 metres of fencing, he wants to enclose a rectangular field that borders on a river. If the farmer doesn't fence the side along theriver, what is the largest area he can inclose? The area of the garden is give by:

A(x)=4000x-2x^2 (^2=squared)

2. A texas based company called hamilton's wares sells baseball bats at a fixed price, c. A field researcher has calculated that the profit the company makes selling the bats a price c can be represented by the following equation:

p(c)=1/5c^3-51/2c^2+110c

What price should they sell their bats at to make the most money.

Please show full working out for both questions, ^3 means to the power of 3.

Answers

I send you the answers:

1)
Answer: the area is 2,000,000 m²

2)
The price that they should sell your bats is $2,214

A candy company packages caramel into containers that hold 32 fluid ounces. In the last batch, 1,848 fluid ounces of caramel were made. How many containers were needed for this batch?

Answers

58 containers

Further explanation

Given:

A candy company packages caramel into containers that hold 32 fluid ounces.
In the last batch, 1,848 fluid ounces of caramel were made.

Question:

How many containers were needed for this batch?

The Process:

Let us reorder information that is known and asked:

$\boxed{ \ 1 \ container = 32 \ fl. \ oz. \ }$
$\boxed{ \ ? \ container = 1,848 \ fl. \ oz. \ }$

To get how many containers were needed for this batch, we have to do the division process. The total fluid ounce of caramel was made divided by the amount of fluid ounce in each container.

Let us count the number of containers needed for this batch.

$\boxed{ \ 1,848 \ fl. \ oz. * (1 \ container)/(32 \ fl. \ oz.) \ ? \ }}$

$\boxed{ \ = (1,848)/(32) \ }$

Simplify it. The numerator and denominator are equally divided by 8.

$\boxed{ \ = (231)/(4) \ }$

We can use the following strategy:

$\boxed{ \ = (228)/(4) + (3)/(4) \ }$

$\boxed{ \ = 57 + (3)/(4) \ }$

$\boxed{\boxed{ \ = 57(3)/(4) \ }}$

In a decimal,

$\boxed{ \ = 57 + (3 * 25)/(4 * 25) \ }$

$\boxed{ \ = 57 + (75)/(100) \ }$

$\boxed{\boxed{ \ 57.75 \ }}$

Conclusion

The result is $\boxed{57 (3)/(4) \ or \ 57.75}$ containers, not integers.
This means we need 57 containers and one more container that contains $(3)/(4)$ parts.
Thus, the number of containers needed for this batch is 58 containers, after rounding up.

Learn more

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Keywords: a candy company, packages, caramel, into containers, hold 32 fluid ounces, fl. oz., the last batch, 1,848, made, how many, containers were needed, 58

1,848 ÷ 32 = 57.75
58 containers were needed for the last batch.

A car rental agency initially offers a car that can go 304 miles on 19/2 gallons of gasoline. There are other vehicles available at the agency, shown below. Which of the other cars have a greater unit rate of miles per gallon than the recommended car?A) 187 miles on 17/2 gallons
B) 357 miles on 21/2 gallons
C) 216 miles on 27/2 gallons
D) 209 miles on 11/2 gallons
E) 115 miles on 5/2 gallons

Answers

ITHINK THAT TH ENASWER IS B sorry for caps

Find the zeros of the function f(x)=2x^2-7x-30

Answers

$2x^2-7x-30=0 \n \na=2 \n b=-7 \n c=-30 \nb^2-4ac=(-7)^2-4 * 2 * (-30)=49+240=289 \n \nx=(-b \pm √(b^2-4ac))/(2a)=(-(-7) \pm √(289))/(2 * 2)=(7 \pm 17)/(4) \nx=(7-17)/(4) \ \lor \ x=(7+17)/(4) \nx=(-10)/(4) \ \lor \ x=(24)/(4) \nx=-(5)/(2) \ \lor \ x=6 \n\boxed{x=-2.5 \hbox{ or } x=6}$

Ill give brainly for right answers

Answers

Answer:

7) scale factor = 3

8) x = 36 feet

Step-by-step explanation:

8) 8/24 = 12/x

8x = 288

x = 36

Answer:

7) scale factor = 3

8) x = 36 feet

Step-by-step explanation:

The TOTAL NUMBER of students who chose the ZOO is how many times as great as the TOTAL NUMBER of students who chose the PLANETARIUM?CLASS Students who chose the Zoo Students who chose the Museum Students who chose the Planetarium CLASSStudents who chose the Zoo

Students who chose the Museum

Students who chose the Planetarium

A

10

9

8

B

8

11

11

C

12

8

5

D

6

10

8

Answers

Okay I just do part A as an example.

The number of students who chose the zoo, students who chose the museum, and students who chose the planetarium is 10, 9, and 8 respectively.

10 students /8 students= 1.25.

The number of students who chose the zoo is 1.25 times as many as the students who chose the planetarium.

We do the same thing for B, C, and D.

Hope this helps~

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