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IgorLugansk [536]
3 years ago
15

Lily deposited $500 in a savings account. At the end of 1 year, she had eamed $20 in simple interest What interest rate did she

receive?
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0

Answer:

4% compounded yearly

Step-by-step explanation:

20 / 500 = 0.04

0.04 * 100 = 4%

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Solve the following system of equations by the substitution method.
Masja [62]
Let

Eqn 1 be <span>8x = 2y + 5
            </span><span>
And, 

</span><span>3x = y + 7
</span>therefore

Eqn 2 is <span> x= 1/3(y+7)
</span>
Sub 2 into 1 gives:

8(1/3(y+7)) = 2y + 5

8/3(y) + 56/3 = 2y + 5

2/3(y) = –41/3
2y=–41
y= –41/2

X= –9/2.

Therefore, <span>{(-9/2, -41/2)} is your solution set. As the notation is equal to (x,y)</span>
6 0
3 years ago
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Find the x- and y-intercepts of the graph of the linear equation −x+8y=4.
Ulleksa [173]
X intercept: (-4,0)
y intercept: (0,1/2)

x-intercept is when y = 0
-x+8(0)=4
-x+0=4
x=-4

y-intercept is when x = 0
-(0)+8y=4
8y=4
y=4/8=1/2
6 0
3 years ago
Hunter was biking for 2 hours 20 minutes and covered 35 miles during this trip. At the same pace how long would it take him to c
nalin [4]

Answer:

1\ h\ 8\ min

Step-by-step explanation:

we know that

Hunter was biking for 2 hours 20 minutes and covered 35 miles

so

using proportion

Find out how long would it take him to cover 17 miles on this bike

Remember that

1 h=60 min

2 h 20 min=2(60)+20=140 min

Let

x -----> the time to cover 17 miles

\frac{140}{35}=\frac{x}{17}\\\\x=17(140)/35\\\\x=68\ min

therefore

68\ min=1\ h\ 8\ min

8 0
3 years ago
Patty buys a new car and gets it appraised every few years. After owning the car for 3 years, its value is $15,000. After owning
zalisa [80]

Answer: 45,000.

Step-by-step explanation:

The equation of inverse variation is given by:-

k=xy

, where k is the constant of proportionality.

Given: After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000.

Here,

x_1=3,\ y_1=15000\\\\x_2=5,\ y_2=9000

Then, k=x_1y_1=3\times15000=45,000

or k=x_2y_2=5\times9000=45,000  [answer is same in both cases.]

Hence, the constant of proportionality in this inverse variation is 45,000.

3 0
3 years ago
Write an equation in point slope form for the line that passes through the given point and the given slope
ad-work [718]

Answer:

y + 7 = 45(x + 2).

Step-by-step explanation:

y - y1 = m(x - x1)

Here m = 45 and (x1, y1) = (-2, -7) so we have:

y - (-7) = 45(x - (-2))

y + 7 = 45(x + 2).

4 0
3 years ago
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