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2 years ago

Please help!!!!!!!!!!

Mathematics

2 answers:

a_sh-v [17]2 years ago

6 0

Answer:

The average amount Mrs. Johnson spent per week is 70 dollars.

Step-by-step explanation:

47+96+78+61+68/5 = 350/5 = 70

Minchanka [31]2 years ago

4 0

Answer:

The overall average is 70 dollars for all weeks together

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2 years ago

Lee is staying at a hotel. The cost of the first night is $240. The cost for each night after that is $210. Let y represent the

sveticcg [70]

Answer:

The situation represents the arithmetic sequence

Step-by-step explanation:

∵ The cost of the first night is $240

∵ The cost of each night after the first is $210

∵ The number of nights is x

∵ The total cost of staying at the hotel x nights is y

∴ y = 240 + 210(x - 1)

Put x = 1 , 2 , 3, 4 and then check the type of the sequence

∴ y = 240 + 210(1 - 1) = 240

∴ y = 240 + 210(2 - 1) = 450

∴ y = 240 + 210(3 - 1) = 660

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3 years ago

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Dora can run 3/5 miles in 3/20 hours How far can she run in 1 hour?

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3 years ago

How much should a family deposit at the end of every 6 months in order to have $4000 at the end of 3 years? The account pays 5.9

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We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

$PV_{ord}=C(\frac{1-(1+i)^{-kn}}{\frac{i}{k}})$

Where:

$\begin{gathered} C=\text{ payments each period} \\ i=\text{ interest rate} \\ n=\text{ number of periods} \\ k=\text{ number of times the interest is compounded} \end{gathered}$

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

$\frac{5.9}{100}=0.059$

Now we substitute the values:

$PV_{ord}=4000(\frac{1-(1+0.059)^{-2(3)}}{\frac{0.059}{2}})$

Now we solve the operations, we get:

$PV_{\text{ord}}=39462.50$

Therefore, the present value must be $39462.50

8 0

1 year ago

Please help!!!!!!!!!!​

Please help!!!!!!!!!!