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2 years ago

Jane addresses twice as many envelopes as Lewis in the same amount of time together they are just 390 envelopes each day

Mathematics

2 answers:

Volgvan2 years ago

7 0

Lewis =130
Jane= 260

2L+L=390
3L=390
L=130

sergiy2304 [10]2 years ago

5 0

Jane - 260, Lewis - 130.

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Derek bought a new car for $32,000. He made a down payment of $17,000 and financed the balance through the car dealer. He was un

Andreyy89

Answer:

$300

Step-by-step explanation:

Given that:

Derek bought a new car for $32,000;

The original amount of purchase = $32,000

Down payment = $17,000

Remaining amount = Original amount of purchase - Down payment

= $(32000 -17000)

= $ 15,000

Also;

rate of interest per month is 2%

and the Derek is unable to pay his first monthly payment

thus the interest amount is calculated on principal amount

so for the first month interest is calculated on total principal amount

The month interest payment is then calculated as :

= 15,000 × 2%

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= $300

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2 years ago

Simplify sin θ / square root 1 - sin^2 θ

Soloha48 [4]

Recall that

$\cos^2\theta+\sin^2\theta=1$

which means

$\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{\sqrt{\cos^2\theta}}$

Now, $\cos\theta$ could be positive or negative, which means $\sqrt{\cos^2\theta}=|\cos\theta|$ . If we specifically knew the sign of $\cos\theta$ was positive, then we can simplify and write

$\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{\cos\theta}=\tan\theta$

or if it's negative,

$\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{-\cos\theta}=-\tan\theta$

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2 years ago

A supermarket soup can display consists of 5 levels of

serg [7]

A supermarket shop cans display consists of 5 levels of stacked cans. In the display, each level has 4 more cans than the level above it-the total number of cans in display are (b) 100

Step-by-step explanation:

Given that ,

The display consists of 5 levels of stacked cans- which means that there are 5 levels in which the stacked cans are displayed .

so,the no:of levels are 5

Now given that level has 4 more cans than the level above it.

so. the number of cans in a single level = 5*4=20

Now we know that the total number of level is 5 so we multiply 20 withe the number of levels of can stacked

==>20*5=100

Thus we can say that the total number of cans in display are (b) 100

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2 years ago

Liz is buying a home for $426,000. She is making a 22% down payment and financing the rest with a 20-year loan at 5.25% interest

olga55 [171]

Answer:

$869,776

Explanation:

1. Mortgage table

Find attached a sample of a mortgage table per 1,000 dollars borrowed.

You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.

The number is $6.74.

That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.

2. Amount borrowed

You will make a 22% down payment:

$22\%\times \$ 426,000=\$ 93,720$

Thus the amount borrowed is $426,000 - $93,720 = $332,280

3. Monthly payment

Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:

$\$ 6.74\times 322,280/1,000=\$ 2,239.57$

4. Total monthly payments:

Multiply the number of payments by the monthly payment.

Number of payments = 20 years × 12 payments /year = 240 payments.

$\$ 2,239.57\times 240=\$ 537,496.13$

5. Total payment for the home.

The total payment for the home will be the down payment plus the amount paid to the bank:

$322,280 + $537,496 = $869,776

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Answer: you need to have a line graph

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2 years ago