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2 years ago

15

Frank has 8 soup bowls. He wants to pour 1/3 pint of soup in each bowl. Will Frank need more or less than 8 pints? How much soup

will Frank need?

1 answer:

Margarita [4]2 years ago

5 0

He would need less than 8. So he would need 2.5 pints. I think.

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Billy ran 2/3 and 3/4 miles Heather ran 5/8 miles how much is it in total?

anygoal [31]

2/3 + 3/4 + 5/8......common denominator is 24

16/24 + 18/24 + 15/24 = 49/24 (or 2 1/24)

3 0

3 years ago

Holly drove 100 miles in 4 hours, and Yemi drove 100 miles in 5 hours. How can you compare the speeds of Holly and Yemi? Explain

Lelu [443]

The first thing that yo do is divide 100 by 5 for Yemi and that's how fast she drove which is 20 miles per hour. And then you do the same thing for Holly 100 divided by 4 which is 25 mph. So Holly is driving faster than Yemi. So you can compare them by dividing the miles by hours for both of them.

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 equivalent to this fraction <br> 6/8 & 3/4 = ?

mr Goodwill [35]

Answer:

3/4 x 2/2= 6/8

Step-by-step explanation:

multiply 3/4 x 2/2 to equal = 6/8

3 0

1 year ago

Explain the error in my screenshot

serious [3.7K]

Step-by-step explanation:

The domain of a function is all possible input x-values, and the range of function is all possible output y-values.

The domain of this function is (-6, 3) and the range is (-5, 5). Those are written like this:

D: (-6, 3)

R: (-5, 5)

I suppose I'll pick the first one: "The domain is (-6, -1)." This is wrong as the domain on the graph shown is (-6, 3).

6 0

2 years ago