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Phantasy [73]
3 years ago
5

Answer the following questions using the information​ below: The cold Spring Harbor Corporation currently leases a corporate sui

te in an office building for a cost of​ $180,000 a year. Only​ 70% of the corporate suite is currently being used. A​ start-up business has proposed a plan that would use the other​ 30% of the suite and increase the overall costs of maintaining the space by​ $20,000. If the​ stand-alone method were​ used, what amount of cost would be allocated to the​ start-up business?
Mathematics
1 answer:
DanielleElmas [232]3 years ago
3 0

Answer:

If the stand-alone method would be used the startup would pay $60,000.00.

Step-by-step explanation:

The current cost for Spring Harbor Corporation is $180,000.00, but they use only 70% of the corporate suite.

If the start-up divide the corporate suite, they will use only 30%, but the total cost will be 180,000.00 + 20,000.00 = 200,000.00

We add the values because 180,000.00 counts the cost of maintenance paid before.

Using the percentages to find the cost for the start-up:

200000*\frac{30}{100}  = 60000

So, $60,000.00 will be allocated to the start-up business.

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Abdul rented a truck for one day. There was a base fee of $19.99, and there was an additional charge of 76 cents for each mile d
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Answer:

The truck drove <u>213 miles</u>.

Step-by-step explanation:

181.87-19.99= 161.88

161.88÷0.76= 213

4 0
3 years ago
Which of the following is a diagonal matrix?
IRINA_888 [86]

A matrix is diagonal if

i\neq j \implies A_{i,j}=0

In other words, you want non-zero elements only when the indices of the row and the column are the same: the first element of the first row must be non zero, the second element of the second row must be non-zero, and so on. All other elements must be zero.

5 0
3 years ago
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Find fog(x) when f(x) = 2x² + x and g(x) = 3x + 2
nekit [7.7K]
For fog or f(g(x)), plug g(x) into f(x):

2(3x+2)²+x

Then simplify:

2( (3x+2)(3x+2) )+x

2( 9x²+12x+4 )+x

18x²+24x+8 +x

18x²+25x+8

Then you can simplify this further using factoring methods to:

(2x+1)(9x+8)

Hope this helps!! :)

6 0
3 years ago
a trail is 5 miles long. carlos walks 2/3 of the trail and runs the rest. how many miles does carlos walk?
lana [24]

Answer:

as 1 mile = 1.609 km

so 5miles = 8.045 km

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Hope it helps

8 0
3 years ago
What’s the answer to this?
inna [77]

Since the triangle is equilateral, all its angles are equal to 60°

AO is the bisector⇒∠OAD = 30°

AO is the hypotenuse, ∠OAD = 30°⇒

OD=5*2=10m

By the Pythagorean theorem

10^2=AD^2+5^2\\AD=\sqrt{100-25} \\AD=\sqrt{75}

AC=AD+DC=2\sqrt{75}=10\sqrt{3}

S=\frac{a^2\sqrt{3} }{4}

S=\frac{(10\sqrt{3})^2\sqrt{3}  }{4} =\frac{300\sqrt{3} }{4} =75\sqrt{3} m^2

Answer: A) S=75\sqrt{3}m²

P.S. Hello from Russia and sorry for my bad english :^)

3 0
3 years ago
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