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Makovka662 [10]
3 years ago
10

PLEASE BE QUICK!!! 15 POINTS!!! What is the area of the triangle QRS? _______ square units

Mathematics
2 answers:
Alika [10]3 years ago
8 0

Answer: 7 square units

salantis [7]3 years ago
3 0

Answer: 7

Step-by-step explanation:

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Dillon plans to invest $16,000 part at 4% simple interest and the rest at 5% simple interest what is the most he can invest at 4
Nuetrik [128]

Answer:

The most Kyle can invest at 4% is $10000.

Step-by-step explanation:

<u>To Determine:</u>

What is the most he can invest at 4% and still be guaranteed at least $700 in interest per year?

<u>Information Fetching and Solution Steps:</u>

As

  • Dillon plans to invest $16,000 part at 4% simple interest
  • and the rest at 5% simple interest

So,

If Kyle has to invest $16,000. then the following equations can be established from the given data

x + y = 16,000

.04x + .05y = 700

Multiplying the second equation by 100, we get,

4x+5y = 70000

Multiplying the 1st equation i.e. x + y = 16,000 by 5

5x + 5y = 80000

So, the equations become

\begin{bmatrix}5x+5y=80000\\ 4x+5y=70000\end{bmatrix}

\mathrm{Isolate}\:x\:\mathrm{for}\:5x+5y=80000:\quad x=16000-y

As

5x+5y=80000

5x+5y-5y=80000-5y

5x=80000-5y

\frac{5x}{5}=\frac{80000}{5}-\frac{5y}{5}

x=16000-y

\mathrm{Subsititute\:}x=16000-y

\begin{bmatrix}4\left(16000-y\right)+5y=70000\end{bmatrix}

\mathrm{Isolate}\:y\:\mathrm{for}\:4\left(16000-y\right)+5y=70000:\quad y=6000

As

4\left(16000-y\right)+5y=70000

64000-4y+5y=70000

64000+y=70000

y=6000

\mathrm{For\:}x=16000-y

\mathrm{Subsititute\:}y=6000

x=16000-6000

x=10000 $

Therefore, the most Kyle can invest at 4% is $10000.

Keywords: interest rate, equation

Learn more equation involving interest rate from brainly.com/question/1504250

#learnwithBrainly

6 0
3 years ago
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