All categories

2 years ago

Veronica earns $150 per week plus 3.5% on sales,while Francis earns 6% commission only

Mathematics

1 answer:

marissa [1.9K]2 years ago

7 0

Answer:

a) Veronica earns $276. Francis earns $216

b) $6000

Step-by-step explanation:

Veronica's income would be I= 0.035s +150 where I is income and s is sales while Francis's income would be 0.06s. So for $3600 in sales Veronica earns $276 while Francis earns $216. To find the answer to part b just set the two equations equal to each other and solve for x. so 0.035x + 150 = 0.06x Subtracting 0.035 x from both sides gives 150 = 0.025x. Dividing both sides by 0.025 gives x = $6000

You might be interested in

Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

2 years ago

Read 2 more answers

I have 7 hundreds blocks, 5 tens blocks, and 8 ones blocks. I use my blocks to model two 3-digit numbers. What could my two numb

lawyer [7]

There 7 blocks of hundreds which means each such block is equivalent to 100.
There are 5 blocks of tens, which means each such block is equivalent to 10.
There are 8 blocks of ones, which means each such block is equivalent to 1.

The total of these blocks will be = 7(100) + 5(10) + 8(10) = 758

We can make several two 3-digit numbers from these blocks. An example is listed below:

Example:
Using 3 hundred block, 2 tens blocks and 4 ones block to make one number and remaining blocks to make the other number. The remaining blocks will be 4 hundred blocks, 3 tens blocks and 4 ones blocks
The two numbers we will make in this case are:

1st number = 3(100) + 2(10) + 4(1) = 324
2nd number = 4(100) + 3(10) + 4(1) = 434

The sum of these two numbers is = 324 + 434 = 758
i.e. equal to the original sum of all blocks.

This way changing the number of blocks in each place value, different 3 digit numbers can be generated.

5 0

2 years ago

Answer to this math question please

shtirl [24]

Answer:

Step-by-step explanation:

8 times 3 TwT

6 0

2 years ago

I’m confused please help

Law Incorporation [45]

So x equals 30 because u did 180-150 and y is also 30 since you found x you then add 90 plus 30 and it will give u 120 then 180 minus 120 will be 60 then 90 - 60 because u are trying to find y, and u will get 30.

3 0

3 years ago

The table below shows the budget for the Smith family.

tiny-mole [99]

Answer:

415 300 213 3400 4500 = 8415

4500 450 415 300 215 3400 = 9280

8828 times 100 divided by 9280 =9 5.1293103448

95.1 percent (simplified)

Step-by-step explanation: income is income rescieved, id.k if income taxes is given to you but taxes is usually taken away from you, college savings, retirement saving and emergency funds are income, and living expenses is for living and you use it on what ever you want. mainly food.

8 0

3 years ago

Read 2 more answers