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4 years ago

What are the slope and the y-intercept of the linear function that is represented by the equation?

Mathematics

1 answer:

amm18124 years ago

7 0

Answer:

slope is -10 and the y-intercept is 1

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3 years ago

A newborn child receives a $20,000 gift toward college education from her grandparents. How much will the 20,000 be worth in 17

Alexus [3.1K]

Answer:

The amount the $20.000 will be worth in 17 years at compound interest is $65068.443

Step-by-step explanation:

Here we have the Principal, P = $20,000.00

The annual interest rate, r = 7% = 0.07

Time , t = 17 years

Number of compounding period per year, m = quarterly = 4

The compound interest can be found from the following formula;

$Amount, \ A = P \left (1 + \frac{1}{r} \right )^{mt}$

Therefore, by plugging the values of the equation parameters, we have;

$Amount, \ A = 20000 \left (1 + \frac{0.07}{4} \right )^{4 \times 17} = \$ 65068.443$

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7 0

3 years ago

SCALCET8 3.9.017.MI. Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west at 20 mi

Veronika [31]

Answer:

The rate at which the distance between the cars increasing two hours later=52mi/h

Step-by-step explanation:

Let

Speed of one car, x'=48 mi/h

Speed of other car, y'=20 mi/h

We have to find the rate at which the distance between the cars increasing two hours later.

After 2 hours,

Distance traveled by one car

$x=48\times 2=96 mi$

Using the formula

$Distance=Time\times speed$

Distance traveled by other car

$y=20\times 2=40 mi$

Let z be the distance between two cars after 2 hours later

$z=\sqrt{x^2+y^2}$

Substitute the values

$z=\sqrt{(96)^2+(40)^2}$

z=104 mi

Now,

$z^2=x^2+y^2$

Differentiate w.r.t t

$2z\frac{dz}{dt}=2x\frac{dx}{dt}+2y\frac{dy}{dt}$

$z\frac{dz}{dt}=x\frac{dx}{dt}+y\frac{dy}{dt}$

Substitute the values

$104\frac{dz}{dt}=96\times 48+40\times 20$

$\frac{dz}{dt}=\frac{96\times 48+40\times 20}{104}$

$\frac{dz}{dt}=52mi/h$

Hence, the rate at which the distance between the cars increasing two hours later=52mi/h

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3 years ago

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Answer:

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