MATHEMATICS MIDDLE SCHOOL

Solve the inequality -24> -3p +3

Answers

Answer 1

Answer:

Hi Shawn

-24>-3p+3

First thing we need to do is to change them side (Flip)

-3p+3<-24

Now we need to subtract 3 from both sides

-3p=3-3<-24-3

-3p<-27

Divide both sides by -3 so we can find the value for p

-3p/-3<-27/-3

p>9

I hope that's help ! Please if you have question ask ↓↓↓↓

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Two consecutive numbers whose squares differ by 25

Answers

An example of this might be 7 and 8. 7 multiplied by 7 to find the square root is 59, and 8 multiplied by 8 to find the square root is 64. 64 subtract 49 equals 25, so there you have your answer.

Josh finished 24 math problems in one hour. At that rate, how many hours will it take him to complete 72 problems?

Answers

72 divided by 24 is 3 the answer is 3

Answer:

At this rate, it will take him to 3 hours to complete 72 problems.

Step-by-step explanation:

72/24 = 3

(If you want to check your answer you can do = 24 x 3 = 72)

How much must be deposited today into the following account in order to have $ 65,000 in 8 years for a down payment on a house? Assume no additional deposits are made.An account with annual compounding and an APR of 4%
$
nothing should be deposited today.
(Do not round until the final answer. Then round to the nearest cent as needed.)

Answers

Answer:

$\$47,494.86$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+(r)/(n))^(nt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=8\ years\n A=\$65,000\n r=4\%=4/100=0.04\nn=1$

substitute in the formula above

$65,000=P(1+(0.04)/(1))^(1*8)$

$65,000=P(1.04)^(8)$

Solve for P

$P=65,000/(1.04)^(8)$

$P=\$47,494.86$

Final answer:

To have $65,000 in 8 years for a down payment on a house, nothing needs to be deposited today.

Explanation:

To find the amount that must be deposited today, we can use the formula for compound interest. The formula is given by:

A = P(1 + r/n)nt

Where:

A is the future value of the investment
P is the principal amount, or the initial deposit
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

We know that the future value (A) that we want is $65,000, the annual interest rate (r) is 4% or 0.04 (expressed as a decimal), the number of times interest is compounded (n) is 1 (since it's compounded annually), and the number of years (t) is 8. We need to find the principal amount (P).

Plugging the values into the formula, we can solve for P:

$65,000 = P(1 + 0.04/1)1 * 8

First, we simplify the fraction:

$65,000 = P(1 + 0.04)8

Next, we calculate the value inside the parentheses:

$65,000 = P(1.04)8

Finally, we solve for P by dividing both sides by (1.04)8:

P = $65,000 / (1.04)8

Using a calculator, we find that P ≈ $49,207.75. Therefore, to have $65,000 in 8 years for a down payment on a house, nothing needs to be deposited today.

Learn more about Compound interest here:

brainly.com/question/14295570

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A running track in the shape of an oval is shown. The ends of the track form semicircles. A running track is shown. The left and right edges of the track are identical curves. The top and bottom edges of the track are straight lines. The track has width 68 m and length of one straight edge 140 m. What is the perimeter of the inside of the track?

Answers

two shapes.. a circle and a rectangle. The width of the rectangle serves as the diameter of the circle.

Length = 140 m ; Width = 68 m

Circumference of a circle = 2 π r
circumference of a cirlce = 2 * 3.14 * (68m/2) = 2 * 3.14 * 34 m = 213.52

length = 2 * 140 m = 280 m

perimeter of the oval = 213.52 m + 280 m = 493.52 m

Answer:

493.52

Step-by-step explanation:

What is eight hundred and five thousandths in decimals

Answers

the answer to eight hundred and five thousandths is 8.5

It will be 0.805 so yep that will answer your question

What is the solution to the proportion? 9/x=4/12 Answers: A. 13 B. 27 C. 17 D. 3

Answers

9*12=108
4*x=4x
so, 4x/108
4x=108
x=27

the answer of this question is 27

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