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4 years ago

Jeff drinks 2/3 of a glass of juice. Write a fraction equivalent to 2/3

1 answer:

7 0

A fraction that means the same as 2/3 is 4/6.

To find this, you can simply multiple both the numerator and denominator (top and bottom) by any number as long as it's the same number for both top and bottom.
In this case, we used 2 as the number, and multipled it to the top and bottom of 2/3, to get 4/6.

I hope this helps!

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Use the compound interest formulas A=P e^rt to solve the problem given. round answers to the nearest cent.

goblinko [34]

Answer:

a) $20,771.76

b) $20,817.67

c) $20,484.80

d) $20,864.52

Step-by-step explanation:

Compound Interest Formula

$\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}$

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Part (a): semiannually

Given:

P = $15,000
r = 5.5% = 0.055
n = 2
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=15000\left(1+\frac{0.055}{2}\right)^{2 \times 6}$

$\implies \sf A=15000\left(1.0275}{2}\right)^{12}$

$\implies \sf A=20771.76$

Part (b): quarterly

Given:

P = $15,000
r = 5.5% = 0.055
n = 4
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=15000\left(1+\frac{0.055}{4}\right)^{4 \times 6}$

$\implies \sf A=15000\left(1.01375}\right)^{24}$

$\implies \sf A=20817.67$

Part (c): monthly

Given:

P = $15,000
r = 5.5% = 0.055
n = 12
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{12 \times 6}$

$\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{72}$

$\implies \sf A=20484.80$

Continuous Compounding Formula

$\large \text{$ \sf A=Pe^{rt} $}$

where:

A = Final amount
P = Principal amount
e = Euler's number (constant)
r = annual interest rate (in decimal form)
t = time (in years)

Part (d): continuous

Given:

P = $15,000
r = 5.5% = 0.055
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=15000e^{0.055 \times 6}$

$\implies \sf A=20864.52$

Learn more about compound interest here:

brainly.com/question/27747709

brainly.com/question/28004698

4 0

2 years ago

Help with this question

larisa [96]

Answer:

-2

Step-by-step explanation:

2x + y = 10 Subtract 2x from both sides.

2x-2x + y = 10 - 2x Combine the left.

y = 10 - 2x

The slope is the number in front of the x -- in this case - 2

The answer is - 2

4 0

3 years ago

An ant population starts at 1200 for a certain colony. As each month goes by in the winter, 6.5% of the population dies off. How

Nitella [24]

Answer:

There will be 916 ants alive after 4 months.

Step-by-step explanation:

Step 1

Let's change the percentage to a decimal by dividing by a 100.

6.5% / 100 = .065

Step 2

So, for the first month we will multiply the initial amount of ants by .065 and this will give us the number of ants that die.

1200 * .065 = 78

This means that after the first month, 1200 - 78 = 1122 ants will be alive.

Step 3

Now for the second month: 1122 * .065 = 72.93 (rounded to 73)

1122 - 73 = 1049 ants will be alive

Step 4

For the third month 1049 * .065 = 68.185 (rounded to 68)

1049 - 68 = 981 ants will be alive

Step 5

For the fourth month 981 * .065 = 63.765 (rounded to 64)

981 - 64 = 916 ants will be alive

Hope this helps!

5 0

3 years ago

Read 2 more answers

Please help would mean a lot

sammy [17]

Answer:

C maybe.........

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Choose the equation below that represents the line passing through the point (−2, −3) with a slope of −6.

lubasha [3.4K]

Y = mx + b
slope(m) = -6
(-2,-3)...x = -2 and y = -3
now we sub....we r looking for b, the y int
-3 = -6(-2) + b
-3 = 12 + b
-3-12 = b
-15 = b

so ur equation is : y = -6x - 15

7 0

3 years ago