sylvia rented a boat for $16.50 per hour. Her total rental fee was 49.50. For how many hours did Sylvia rent the boat

Write the exponent for the expression. <br> 1/8 x 1/8

kompoz [17]

Answer:

$8^{-2}$

Step-by-step explanation:

$2^{-2} = 1/4$

So:

$8^{-2} = 1/8*1/8$

5 0

2 years ago

2,10,18,26 find the 61st term

saw5 [17]

Answer:

482

Step-by-step explanation:

We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:

$a_{n} =a_{1} +(n-1)d$

Where $a_{1}$ is the first term, $a_{n}$ is the nth term, and $d$ is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do $10-2$ , which is $8$ , or the common difference. Since we have everything we need, it can be plugged into the equation:

$a_{61} =2 + (61 - 1)*8\\a_{61} = 2 + 60*8\\a_{61} = 2 + 480\\a_{61} = 482$

So, the 61st term is 482.

4 0

2 years ago

To create a giant gemstone, sara first made two identical square pyramids that each had a base area of 100 square inches. Then s

inysia [295]

Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.

5 0

2 years ago

[2.5+ 0.187]x10 please help me

MAVERICK [17]

The answer will turn out to be 26.87

6 0

3 years ago

Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same

Maslowich

Answer:

so rate is 4.72 %

Step-by-step explanation:

Given data

time (t) = 5 year = 5×4 = 20 quarterly

amount = $27456

principal = $1225

to find out

interest rate (r)

solution

we use here amount formula that is

amount = principal ( $(1+r)^{t}$ -1 ) / r .....................1

put all value principal , amount and time in equation 1 and we get rate

rate is r/4 because it is quarterly payment

amount = principal ( $(1+r/4)^{t}$ -1 ) / r/4

27456 = 1225 ( $(1+r/4)^{20}$ -1 ) / r/4

( $(1+r/4)^{20}$ -1 ) / r/4 = 27456/ 1225

( $(1+r)^{20}$ -1 ) / r = 27456/ (1225 × 4)

( $(1+r)^{20}$ -1 ) = r 27456/ (1225 × 4)

now by the tvm solver and amount $27456

graph value

we get r = 0.0472

so rate is 4.72 %

5 0

2 years ago

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