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Ronch [10]
2 years ago
8

Rodger put $1,000 in a bank account that pays 5% annual simple interest. At the end of four years, how much interest has he earn

ed and what is the balance of his account
Mathematics
1 answer:
Kryger [21]2 years ago
3 0

Answer: He has earned $200 interest and the balance of his account is $1,200.

Step-by-step explanation:

Given: Principal : P = $1,000

Simple interest rate : r = 5% = 0.05

Time: t = 4 years

Simple interest = Prt

=1000\times0.05\times4=200

i.e. Simple interest = $200

Balance of account = Principal + Simple interest

=  $1,000 + $200

= $1,200

Hence, he has earned $200 interest and the balance of his account is $1,200.

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A certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the rat
Mrac [35]

Answer:

E(X) = 17.4

Step-by-step explanation:

We can calculate the expected value of a random X variable that is discrete (X takes specific values ) as:

E(X) =  ∑xp(x)  where x are the specific values of x and p(x) the probability associated with this x value.

In this way the expexted value is

E(X) =  ∑xp(x) =(16*0.6)+(18*0.3)+(20*0.2) = 8+5.4+4 =  17.4

5 0
2 years ago
The graph of the piecewise function is shown.
motikmotik
Range, from -inf to 4 

4 >= f(x) > - inf  B
6 0
3 years ago
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Subtract. Your answer should be a polynomial in standard form. (6y^2-9y+4) -(-7y^2+5y+1)=(6y 2 −9y+4)−(−7y 2 +5y+1)=left parenth
kifflom [539]
Solution:
(6y^2-9y+4)-(-7y^2+5y+1)
Distribute to get rid of ( )
6y^2-9y+4+7y^2-5y-1
Combine like terms
13y^2-14y+3
7 0
2 years ago
Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.
ra1l [238]

Answer:

The equation in the slope-intercept form will be:

y  = 1/4x - 7

Step-by-step explanation:

Given the points

  • (-4.-8)
  • (-8, -9)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)

m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}

m=\frac{1}{4}

We know that the slope-intercept of line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y  = 1/4x + (-7)

y  = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y  = 1/4x - 7

6 0
3 years ago
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Answer:

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5 0
2 years ago
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