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3 years ago

10

. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use x to

show the number of weeks and z to represent the total amount Mark has after any number of weeks.

1 answer:

DanielleElmas [232]3 years ago

5 0

Answer:

$135

Step-by-step explanation:

id k how to explain but since he saves 5 dollars he basically has 15 dollars in his bank account u just need to multiply 15 with however many weeks he saves up for

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Kimi and Jordan are each working during the summer to earn money in addition to

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Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

<u>Kimi</u>

Earnings = $9 per hour
Weekly allowance = $8

So, the equation for Kimi's weekly earning is:

$y =9x + 8$

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<u>Jordan</u>

Earnings = $7 per hour
Weekly allowance = $16

So, the equation for Jordan's weekly earning is:

$y = 7x + 16$

Equate both equations

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Hence, their earnings would be the same after 4 hours

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Anna starts a fixed deposit with $178000, the bank offers 9.5% per year simple interest for 8 months. she has the option of rest

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Using simple interest, we have that:

A) The interest due after 8 months is $11,272.33.

B) The total value of the investment will be of $189,986.24.

The amount of interest earning using <em>simple interest</em>, after <u>t years</u>, with an <u>yearly interest rate of i</u> and an <u>initial investment of P</u> is given by:

$E = Pit$

In this problem:

Deposit of $178,000, hence $P = 178000$ .
Interest rate of 9.5% per year, hence $i = 0.095$ .
8 months, the time is in years, hence $t = \frac{8}{12} = \frac{2}{3}$

Item a:

$E = Pit$

$E = 178000(0.095)\frac{2}{3} = 11272.33$

The interest due after 8 months is $11,272.33.

Item b:

For the second interest, we consider $P = 11272.33$ , hence:

$E_2 = Pit$

$E_2 = 11272.33(0.095)\frac{2}{3} = 713.91$

The total value will be composed by:

The initial deposit of $178,000.
The first interest of $11,272.33.
The second interest of $713,91.

Hence, it will be:

$T = 178000 + 11272.33 + 713.91 = 189986.24$

The total value of the investment will be of $189,986.24.

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From the question we are told that

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The sample size is $n = 60$

Generally the standard deviation of the sample mean is mathematically represented as

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substituting values

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