MATHEMATICS
MIDDLE SCHOOL

Answer: The formula for simple annual interest is:

I = Prt

where,

I = Interest accumulated = $910.90

P = Principal Amount = $62000

r = Interest rate = 9.4% = 0.094

t = time in years

Using the values in above equation, we get:

910.90 = 62000 x 0.094 x t

⇒ t = 910.90/(62000 x 0.094) = 0.156

This is the time in years. Since there are 365 days in a year, the time in days will be:

t = 0.156 x 365 = 57 (rounded to nearest day)

This means, Nate kept the borrowed money for 57 days

I = Prt

where,

I = Interest accumulated = $910.90

P = Principal Amount = $62000

r = Interest rate = 9.4% = 0.094

t = time in years

Using the values in above equation, we get:

910.90 = 62000 x 0.094 x t

⇒ t = 910.90/(62000 x 0.094) = 0.156

This is the time in years. Since there are 365 days in a year, the time in days will be:

t = 0.156 x 365 = 57 (rounded to nearest day)

This means, Nate kept the borrowed money for 57 days

HIGH SCHOOL

(4p-7)^1/2=5 solve for the given variable

Hope this helps! :)

MIDDLE SCHOOL

List the square numbers less than 90 and greater than 50

HIGH SCHOOL

2 Which ordered pair is a solution of the equation 2x − y = 9?

A.

(-4,1)

B.

(-2,5)

C.

(5,1)

D.

(6,-3)

Answer:

C. (5,1)

Step-by-step explanation: You have to substitute the numbers in for x & y

A. (-4,1):

2x − y = 9

2(-4) - 1 = 9

-8 - 1

-9 = 9

NO

B. (-2,5):

2x − y = 9

2(-2) - 5 = 9

- 4 - 5 = 9

-9 = 9

NO

C. (5,1):

2x − y = 9

2(5) - 1 = 9

10 - 1 = 9

9 = 9

YES

D. (6,-3):

2x − y = 9

2(6) - - 3 = 9

12 - - 3 = 9

12 + 3 = 9

15 = 9

NO

Hope this helps you!!! :)

MIDDLE SCHOOL

Jane eats 2/5 of a pizza. joe eats 1/7.

how many times more pizza has jane eaten then joe

2/5 = 14/35

1/7 = 5/35

14/35 - 5/35 = 9/35

Answer: Jane ate 9/35 more pizza than Joe

Simply convert the fractions so that they will have the same denominator then subtract.

1/7 = 5/35

14/35 - 5/35 = 9/35

Answer: Jane ate 9/35 more pizza than Joe

Simply convert the fractions so that they will have the same denominator then subtract.

MIDDLE SCHOOL

Solve the equation v³=36

MIDDLE SCHOOL

one pan pizza and two beef burritos provide 3570 calories. Two pan pizzas and one beef burrito provide 3450 calories. Find the caloric content of each item.

Answer:

The calories content of the pan pizza is 1110 calories and the one beef burritos calories content be 1230 calories .

Step-by-step explanation:

Let us assume that the one pan pizza calories content be x.

Let us assume that the one beef burritos calories content be y.

As given

one pan pizza and two beef burritos provide 3570 calories.

Than the equation becomes

x + 2y = 3570

Two pan pizzas and one beef burrito provide 3450 calories.

2x + y = 3450

Than the two equations are

x + 2y = 3570 and 2x + y = 3450

Multiply x + 2y = 3570 by 2 and subtracted from 2x + y = 3450 .

2x - 2x + y - 4y = 3450 - 7140

-3y = - 3690

y = 1230 calories

Put value of y in the equation x + 2y = 3570.

x + 2 × 1230 = 3570

x + 2460 = 3570

x = 3570 - 2460

x = 1110 calories

Therefore the calories content of the pan pizza is 1110 calories and the one beef burritos calories content be 1230 calories .

COLLEGE

Write a decimal that represents the value of $1 bill and 5 quarters.

Hey there!

$1 = 1.00 and 5 quarters = 1.25

So your answer is 1.00 and 1.25

Hope this helps you!

Always remember, you are a Work Of Art!

- Nicole :)

$1 = 1.00 and 5 quarters = 1.25

So your answer is 1.00 and 1.25

Hope this helps you!

Always remember, you are a Work Of Art!

- Nicole :)

A quarter equals 0.25

5 quarters is

0.25 * 5

1.25

plus the $1

$2.25

Hope this helps!

5 quarters is

0.25 * 5

1.25

plus the $1

$2.25

Hope this helps!

MIDDLE SCHOOL

Round this number to the nearest tenth 4.9675

Add half a tenth.

.. 4.9675 +0.05 = 5.0175

Throw away all the digits to the right of the tenths digit.

.. 5.0

Your rounded number is 5.0

.. 4.9675 +0.05 = 5.0175

Throw away all the digits to the right of the tenths digit.

.. 5.0

Your rounded number is 5.0

HIGH SCHOOL

What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 5.6 cm? Enter your answer as a decimal in the box.

central angle theta (in radians) = arc length / radius

So theta = 5.6/8 = 0.7 radians

Answer:

the answer is 0.7 radians

Step-by-step explanation: