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Semmy [17]
2 years ago
12

David and Eric each shot 6 arrows at the target shown. David shot 4 arrows into A and 2 into B. His score was 18 points. Eric sh

ot 3 into A and 3 into B. His score was 21 points. How many points were given in an arrow in B?
Mathematics
1 answer:
liq [111]2 years ago
3 0
Lets write an equation for each guy's shots and score:
4A + 2B = 18
3A + 3B = 21
To solve we multiply the first equation by -3 and the second by 2:
-12A - 6B = -54
  6A + 6B = 42
--------------------
-12A + 0 = -12
A = 1
to find B we substitute in the first equation:
<span>4A + 2B = 18
</span><span>4(1) + 2B = 18
</span><span>4 + 2B = 18
</span>2B = 14
B = 7
therefore there were given 7 points in an arrow in B
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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:

  • <em><u>$869,776</u></em>

Explanation:

<u>1. Mortgage table</u>

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.

<u>2. Amount borrowed</u>

You will make a 22% down payment:

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

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

<u>3. Monthly payment</u>

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

<u />

<u>4. Total monthly payments:</u>

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

<u>5. Total payment for the home.</u>

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

  • $322,280 + $537,496 = $869,776

6 0
2 years ago
Read 2 more answers
give an example on an addition problem in which you would and would not group the addends differently to add
Murrr4er [49]
Addends are any of the numbers added together in an equation. 

The only time their grouping would matter would be if there were parentheses used to alter the normal Order of Operations. 

For ex:
2 - (8 + 3)  here, the 8 and 3 have to be grouped together before doing the subtraction.

Any addition problem without parentheses can be used for one where the grouping doesn't matter
3 0
2 years ago
A 92.0 kg football player at 6.50 m/s North collides with an 85.0 kg football player running at 6.00 m/s south. The 92.0 kg foot
s2008m [1.1K]

Answer:

-1.13 m/s

Step-by-step explanation:

Parameters given:

Mass of first footballer, M = 92 kg

Initial velocity of first footballer, U = 6.5 m/s (taking North to be the +ve y axis)

Mass of second footballer, m = 85 kg

Initial velocity of second footballer, u = -6.0 m/s (taking South to be the -ve y axis)

Final velocity of first footballer, V = 2.0 m/s

We need to find the final velocity of the second football (v)

Applying the principle of conservation of momentum, we have that, in a system:

Total Initial Momentum = Total Final Momentum

(M * U) + (m * u) = (M * V) + (m * v)

(92 * 6.5) + (85 * -6) = (92 * 2) + (85 * v)

598 - 510 = 184 + 85v

88 = 184 + 85v

88 - 184 = 85v

-96 = 85v

=> v = -96 / 85

v = -1.13 m/s

The final velocity of the 85 kg player is -1.13 m/s i.e 1.13 m/s South

5 0
2 years ago
In the function y = 0.25x + 3.5, y represents the cost of a gallon of milk after a certain number of years, x. How much does the
Mkey [24]
Since its telling you that x is the number of years and the question is "How much does the cost of milk increase EVERY YEAR" then you can conclude that the cost is increasing by 0.25 each year
4 0
2 years ago
Read 2 more answers
arleen has a gift card for a local lawn and garden store. she uses the gift card to rent a roller for 4 days. it cost $17 per da
kaheart [24]

Answer:

We use negative values for the money Arleen spends.

a) We determine the change to the value on her gift card:

4(-35)+(-9)= -140+(-9)=-149

b) We determine the amount on money she has left on the gift card after renting the tiller and buying the rake:

200+(-149)=51

Since she has got $51 on her gift card and a wheelbarrow is $50 she is able to buy it:

51>50

RESULT

a) -$149 less b) yes

Step-by-step explanation:

7 0
2 years ago
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