If a 21-ounce box of cereal cost 2.94 what is the unit price

Zach has $50 to spend on a sweater. Let c represent the cost of the sweater. He has a coupon for 5% off. The expression 50 -(c -

Norma-Jean [14]

Answer:

B and D

Step-by-step explanation:

8 0

3 years ago

Explain how knowing that five divided by eight equals 0.625 helps you write the decimal for four and five eighth

NNADVOKAT [17]

5/8=0.625

4 and 5/8=4+5/8=4+0.625=4.625
you can just seperate the fractions and add

4 0

3 years ago

How many diagonals can you draw from one vertex in a polygon with 35 sides?

damaskus [11]

Answer: 32

Step-by-step explanation:

#of sides - 3 is 35-3=32

3 0

3 years ago

Greg deposited $4000 into an account with 4.6% interest, compounded semiannually. Assuming that no withdrawals are made, how muc

Zinaida [17]

The amount in account after 7 years is $ 5499.445

Solution:

The formula for total amount in compound interest is given as:

$A = p(1+\frac{r}{n})^{nt}$

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Here given that,

A = ?

P = 4000

t = 7 years

$r = 4.6 \% = \frac{4.6}{100} = 0.046$

n = 2 ( since compounded semi annually)

Substituting the values in formula, we get

$A = 4000(1+\frac{0.046}{2})^{2 \times 7}\\\\Simplify\ the\ above\ expression\\\\A = 4000(1+0.023)^{14}\\\\A = 4000(1.023)^{14}\\\\A = 4000 \times 1.37486\\\\A = 5499.445$

Thus amount in account after 7 years is $ 5499.445

4 0

4 years ago

Using 70 POINTS NEED YOUR HELP NOT SPAMMERS. To make an ice-cream cone, employees at an ice-cream shop completely fill the cone

san4es73 [151]

Solution for Q1:

Given is the height of ice-cream cone, h = 6 inches.

Given is the diameter of ice-cream cone, d = 2 inches. Then radius of cone would be half of diameter, r = d/2 = 1 inch.

The ice-cream without scoop would be in the shape of cone only. So we need to find the volume of cone.

We know the formula for volume of cone is given as follows :-

$Volume = \frac{1}{3} \pi r^{2} h \\\\Volume = \frac{1}{3} \pi (1)^{2} (6) \\\\Volume = \frac{6\pi}{3} = 2\pi = 2(3.14) = 6.28 \;cubic \;inches.$

So the volume is 6.28 ≈ 6 in³.

Hence, option A is correct i.e. 6 cubic inches.

Solution for Q2:

A candy is in shape of sphere with diameter, d = 0.25 inches.

Then radius of sphere, r = d/2 = 0.250/2 = 0.125 inches.

The formula for volume of sphere is given as follows :-

$Volume = \frac{4}{3} \pi r^{3} \\\\Volume = \frac{4}{3} \pi (0.125)^{3} \\\\Volume = 0.00818123 \;cubic \;inches.$

So, volume of one candy = 0.00818123 cubic inches.

There are total 120 candies in the machine.

Total volume of all 120 candies = 120 x 0.00818123 = 0.981748 cubic inches.

Hence, the total volume of all candies in the machine is about 0.982 in³.

8 0

3 years ago

Read 2 more answers