Ask question

Ask question

All categories

3 years ago

9

As the manager of the soccer team, Wendy is to hand out cups of water at practice. Each cup of water is 4 ounces. She begins pra

ctice with a 128-ounce cooler of water.

1 answer:

Gnoma [55]3 years ago

8 0

Answer:

she can hand out 32 cups

Step-by-step explanation:

You might be interested in

if the area of a rectangle is 48 square feet and the width of the rectangle is 6 feet what is the perimeter of the rectangle

Over [174]

Answer:

28 ft

Step-by-step explanation:

the perimeter of the rectangle is 28 feet

3 0

3 years ago

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600? If the co

Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has $1600.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600?

We have to find t for which $A(t) = 1600$ when $P = 1000, r = 0.07, n = 2$

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

$1600 = 1000(1 + \frac{0.07}{2})^{2t}$

$(1.035)^{2t} = \frac{1600}{1000}$

$(1.035)^{2t} = 1.6$

$\log{1.035)^{2t}} = \log{1.6}$

$2t\log{1.035} = \log{1.6}$

$t = \frac{\log{1.6}}{2\log{1.035}}$

$t = 6.83$

Using continuous interest 6.83 years before she has $1600

If the compounding is continuous, how long will it be?

We have that $P(0) = 1000, r = 0.07$

Then

$P(t) = P(0)e^{rt}$

$1600 = 1000e^{0.07t}$

$e^{0.07t} = 1.6$

$\ln{e^{0.07t}} = \ln{1.6}$

$0.07t = \ln{1.6}$

$t = \frac{\ln{1.6}}{0.07}$

$t = 6.71$

Using continuous compounding, 6.71 years.

7 0

3 years ago

What is the coefficient of a term that consists of a single variable

sweet-ann [11.9K]

<span>The numerical value that comes before the variable or, if none, the coefficient is 1

hope it helps(:

</span>

6 0

3 years ago

HALP ME WITH THIS MATH PLSS

pentagon [3]

The answer is 63/5ft long of the actual car. Hope this helps :)

8 0

3 years ago

Read 2 more answers

Determine whether the graphs of y=-7x-4 and -y=7x+4 are parallel, perpendicular, coincident or none of these

horsena [70]

we are given

$y=-7x-4$

$-y=7x+4$

we can multiply -1 on both sides of second equation

$-1*-y=-1(7x+4)$

$y=-7x-4$

we can see that

both equations becomes same

so, they are coincident............Answer

5 0

3 years ago

Read 2 more answers