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2 years ago

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Mathematics

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cupoosta [38]2 years ago

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Helene invested a total of $1,000 in two simple-interest bank accounts. One account paid 8% annual interest; the other paid 9% a

Lelu [443]

Answer: -600 and 1600 were invested into the two accounts.

Step-by-step explanation:

x = amount invested in the first account.

y = amount invested in the second account.

You start off with this equation

$x + y = 1000$

$0.08x + 0.09y=86$

Subtract both sides by y.

$x=1000-y$

Subsitude 1000 - x for x for the second equation.

$0.08(1000-y)+0.09y=$86$

Use the distributive property to solve for y.

$80-0.08y+0.09y=86$

$80-0.01y=86$

$6=-0.01y$

$=-600$

Subsitude -600 for y in the first equation and solve for x.

$x-600=1000$

$x=1600$

-600 and 1600 were invested into the two accounts.

4 0

2 years ago

Ben and his housemates signed a lease for an apartment for 12 months for $563 per month of which Ben agreed to pay $215 per mont

Black_prince [1.1K]

<span>The statement that best gives the reasons that Ben's rent payment is an essential (fixed) expense is D. it is by contract the same amount every month. So, this is his rent, the amount of money that he is legally bound to pay every month in order to keep on living in that location. He has an agreement with his landlord to pay $215 each month and thus he has to do it.</span><span />

7 0

2 years ago

Read 2 more answers

Leam with an example

Nata [24]

Answer:

18 because 6 times 2 is twelve and 9 times 2 is 18... only if its direcrly proportional which it is

Step-by-step explanation:

pls mark brainliest it would really help me out

8 0

1 year ago

Jon recently drove to visit his parents who live 280 miles away. On his way there his average speed was 9 miles per hour faster

Luba_88 [7]

Answer:

11 mph and 20 mph

Step-by-step explanation:

Represent his average speed going by r1 and his average speed returning by r2. We know that r1 = r2 + 9.

Recall that distance = rate times time, so time = distance / rate.

Time spent going was (280 mi) / r1, or (280 mi) / (r2 + 9 mph).

Time spend returning was (280 mi) / r2.

The total time was 14 hrs, so (280 mi) / (r2 + 9 mph) + (280 mi) / r2 = 14 hrs

Note that there is only one variable here: r2. Find r2, and then from r2, find r1:

Dividing all 3 terms by 14 hrs yields:

20 20

---------- + ----------- = 1

r2 + 9 r2

The LCD here is r2(r2 + 9). Thus, we have:

20r2 (r2 + 9)(r2)

------------------- = 1 or ------------------

(r2 + 9)(r2) (r2 + 9)(r2)

Then 20(r2) = (r2)^2 + 9(r2). This is reducible by dividing all terms by r2:

20 = r2 + 9, or 11 = r2. Then r1 = 11 + 9, or 20.

The two rates were 11 mph and 20 mph.

8 0

2 years ago

Joe is buying a jacket that originally costs $59.27 but is on sale for 10% off. Sales tax is 7%. What is the total cost of the j

postnew [5]

Hello!

10% off means there's a discount on the jacket, so we will be finding how much the discount is worth and then we'll subtract that from the original cost of the jacket.
Sales tax is basically additional money added to the cost of an item, so we will find what the sales tax is on this and then add that to the cost.

59.27 * 10% = 5.927

59.27 - 5.927 = 53.343

Now, find and add the sales tax.

53.343 * 7% = 3.73401

53.343 + 3.73401 = 57.07701

Round this to 57.1

The total cost of the jacket is $57.1.

7 0

2 years ago

Read 2 more answers