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spin [16.1K]
3 years ago
6

What is the value of n? 40= -5n/8 n=________

Mathematics
2 answers:
WINSTONCH [101]3 years ago
8 0
40 = \frac{-5}{8}n \\\\40 \times- \frac{8}{5} = -\frac{5}{8}n\times -\frac{8}{5}\\\\-64 = n\\\\\boxed{n=-64}
vodka [1.7K]3 years ago
7 0
40 = -5 × \frac{n}{8}

First, simplify 5 × \frac{n}{8} to \frac{5n}{8} / Your problem should look like: 40 = -\frac{5n}{8}
Second, multiply both sides by 8. / Your problem should look like: 320 = -5n
Third, divide both sides by -5. / Your problem should look like: \frac{320}{-5} = n
Fourth, simplify \frac{320}{-5} to - \frac{320}{5} / Your problem should look like: -\frac{320}{5} = n
Fifth, simplify \frac{320}{5} to 64. / Your problem should look like: -64 = n
Sixth, switch sides. / Your problem should look like: n = -64

Answer: n = -64

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a student invested $10,000 received an inheritance in three parts. with one person she brought mutual funds that offered and ret
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Answer:

The amount invested at 4% per year was $3,000

The amount invested at 4.5% per year was $6,000

The amount invested at 2.5% per year was $1,000

Step-by-step explanation:

Let

x -----> the amount invested at 4% per year

2x ----> the amount invested at 4.5% per year

10,000-3x -----> the amount invested at 2.5% per year

we know that

The interest earned by the amount invested at 4% per year plus the interest earned by the amount invested at 4.5% per year plus the interest earned by the amount invested at 2.5% per year must be equal to $415

so

4\%=4/100=0.04

4.5\%=4.5/100=0.045

2.5\%=2.5/100=0.025

0.04x+0.045(2x)+0.025(10,000-3x)=415

Solve for x

0.04x+0.09x+250-0.075x=415

0.055x=415-250

0.055x=165

x=\$3,000

therefore

The amount invested at 4% per year was $3,000

The amount invested at 4.5% per year was $6,000

The amount invested at 2.5% per year was $1,000

3 0
3 years ago
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While John is traveling along a straight interstate highway, he notices that the mile marker reads 243 km. John travels until he
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Answer:

The displacement is: - 80 i

Step-by-step explanation:

In order to answer the question, you have to apply the displacement formula, which is:

ΔX= Xf-Xi

Where ΔX is the displacement, Xf is the final position and Xi is the initial position. The formula represents the change in the position of an object from the origin.

Let the origin be in 0 km,with the x-axis positive to te right.

Notice that the displacement is a vector. The positions are:

Xf=163 km (i)

Xi= 243 km (i)

Because John starts in 243 km and finishes in 163 km.

Where i is the unit vector in the x direction.

Therefore:

ΔX= 163 i - 243 i

Solving:

ΔX= -80 i

Notice that for calculating the displacement you just need the initial and final position. It doesn't depend on the distance traveled.

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