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2 years ago

Which situations described can be modeled by an exponential function?

Mathematics

2 answers:

nasty-shy [4]2 years ago

7 0

Answer:

I did this exact same question on USATestPrep and here's what I answered that I got correct:

B, C and this one isn't an answer choice but the additional answer was: "1,000 grams of radioactive material with a half-life of 6 hours."

Hope this helps! I'm sorry if it doesn't help future people who sees this :/

seropon [69]2 years ago

7 0

Answer:

B, C, or the additional answer that was said above. if i got this wrong would someone let me know in the comments. thank you!

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What is the total interest earned in two years on an account containing $500 at 3.5% interest, compounded annually?

Andrei [34K]

Answer: $35.6125

Step-by-step explanation:

3.5% = 0.035

Let's find the deposit amount with interest at the end of the first year:

500 + 500 · 0.035 = 517.5

Let's find the amount of the deposit with interest at the end of the second year:

517.5 + 517.5 · 0.035 = 535.6125

Find the total interest earned over two years:

535.6125 - 500 = 35.6125

7 0

3 years ago

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

Art [367]

The area of sector is 1.57 m²

<u>Explanation:</u>

Given:

Radius, r = 3 m

Central angle of a sector = 1/9π radians

Area of sector, A = ?

We know:

Area of sector, A = $\frac{1}{2} r^2 \alpha$

where,

α is the central angle in radians

On substituting the value we get:

$A = \frac{1}{2} X(3)^2 X \frac{1}{9}X 3.14\\ \\A = 1.57 m^2$

Therefore, the area of sector is 1.57 m²

5 0

3 years ago

You begin with $25 in a savings account and $50 in your checking account. Each week you deposit $5 into savings and $10 into che

Phantasy [73]

Answer:

The amount in checking will always be twice in any week.

Step-by-step explanation:

Let's say, $w$ represents the week, $s$ represents the saving account and $c$ represents the checking account.

Balance in saving account in any week $=s=5w+25$

Balance in checking account in any week $=c=10w+50$

Translate the statement into mathematical equation. Remember to use " = " for word "is" in the given statement.

We have to find $w$ for $2s = c$ .

Putting the values, we have:

$2(5w+25)=10w+50$

$\Rightarrow \mathrm{True\:for\:all}\:w$

Which means in each week the amount in checking is twice the amount in savings.

Best Regards!

7 0

3 years ago

PLEASE HELP I DON'T UNDERSTAND! A florist is making regular bouquets and mini bouquets. The florist has 118 roses and 226 peonie

Anna [14]

Answer:

The florist can make 11 regular bouquets and 21 mini bouquets

Step-by-step explanation:

The number of roses the florist has = 118 roses

The number of peonies the florist has = 226 peonies

The number of roses in each regular bouquet = 5 roses

The number of peonies in each regular bouquet = 11 peonies

The number of roses in each mini bouquet = 3 roses

The number of peonies in each mini bouquet = 5 peonies

1. The equation that gives the total number of roses to be used in both kinds of bouquet is given as follows;

Let r represent the number of regular bouquet the florist can make and let m represent the number of mini bouquet the florist can make, we have;

5·r + 3·m = 118...(1)

2. Similarly, we have;

11·r + 5·m = 226...(2)

Making m the subject of the formula of both equations, and equating both values of m to find a common solution, we have;

m = (118 - 5·r)/3

m = (226 - 11·r)/5

(118 - 5·r)/3 = (226 - 11·r)/5

5 × (118 - 5·r) = 3 × (226 - 11·r)

590 - 25·r = 678 - 33·r

33·r - 25·r = 678 - 590 = 88

8·r = 88

r = 88/8 = 11

r = 11

The number of regular bouquet the florist can make = r = 11

m = (118 - 5·r)/3 = (118 - 5×11)/3 = 21

m = 21

The number of mini bouquet the florist can make = m = 21

The number of regular bouquet the florist can make = 11 bouquets

The number of mini bouquet the florist can make = 21 bouquets.

3 0

2 years ago

Plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

iren2701 [21]

Answer:

88 inches

Step-by-step explanation:

The given bicycle has a tyre that is 28 inches in diameter.

How far the bicycle moves forward each time the wheel goes around is the circumference of the bicycle tyre.

This is calculated using the formula:

C =\pi \: d

We substitute the diameter and

\pi = \frac{22}{7}

C = \frac{22}{7} \times 28

This simplifies to

C =22 \times 4

88 \: inches

7 0

3 years ago