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3 years ago

Find the unit rate. Round to the nearest hundredth, if necessary. $290 for 18 ft2

Mathematics

1 answer:

DochEvi [55]3 years ago

5 0

Answer:16.110

Step-by-step explanation:

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An someone help me please: (2x - 6) + 4(x - 3)

Alex777 [14]

Answer:

6x - 18

Step-by-step explanation:

thats it simplified! hope it helps!

6 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

4 years ago

The cargo box of an 18-wheeler truck has an inside length of 39.6 feet,width of 7.6 feet,and a height of 8.8 feet.What is the ca

Tom [10]

Answer:

2,648.448 cubic feet

Step-by-step explanation:

The cargo box of a truck is a rectangular prism. The volume of a rectangular prism is l*w*h.

If the length is 39.6 ft, the width is 7.6 ft and the height is 8.8 ft then the volume is (39.6)(7.6)(8.8) = 2,648.448 cubic feet

6 0

4 years ago

What is the product of 3*the square root of 6 and 5*the square root of 12 in simplest radical form

ira [324]

√
6
⋅
√
15
=
3
√
10

Explanation: By radical laws,
√
a
⋅
√
b
=
√
a
b
.
Using this law:
√6⋅√15
=√90

√90 has 9, a perfect square, as one of its factors, so it can be simplified.
√90
=√9⋅10
=√9⋅√10

=3√10

8 0

3 years ago

Which of the following is the correct equation for this function?<br><br>

Rudiy27

Answer:

I'm pretty sure it's a

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers