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Keith_Richards [23]
3 years ago
8

Sam needs a web designer. Designer A is offering her services for an initial $550 in addition to $105 per hour. Designer B is of

fering her services for an initial $660 in addition to $50 per hour. When will the two designers charge the same amount of money?
The two designers will charge the same amount of money after
hours
Mathematics
1 answer:
Wewaii [24]3 years ago
5 0
After two hours the prices will meet a 760

$550+105=655 |655+105= 760

660+50= 710 |710+50= 760

They meet in the second hour so in the second hour they will charge the same.
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Kamran wins the big game lottery. He invests part of his winnings in treasury bonds promising a 5% annual return and he deposits
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Answer:

Amount won by Kamran = $21,450

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of the amount invested in treasury bonds

Since the limit to the duration of investment is not stated, the amount invested can be calculated using the formula for calculating the present value of a perpetuity as follows:

PV = P / r …………………………………. (1)

Where;

PV = Present value or the amount invested treasury bonds = ?

P = Annual return on his investments = $661.25

r = Annual rate of return = 5%, or 0.05

Substitute the values into equation (1), we have:

PV = $661.25 / 0.05 = $13,225

Step 2: Calculation of the amount deposited in the money market account

From Step 1 above, we have:

Amount invested treasury bonds = $13,225

Since he invests $5000 more in treasury bonds than he deposits in the money market account, the amount deposited in the money market account can be calculated as follows:

Amount deposited in the money market account = Amount invested treasury bonds - $5,000 = $13,225 - $5,000 = $8,225

Step 3: Calculation of the amount won by Kamran

Amount won by Kamran = Amount invested treasury bonds + Amount deposited in the money market account = $13,225 + $8,225 = $21,450

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