Answer:
$733.33
Step-by-step explanation:
The question is on finding the principal value
Formulae for simple interest
S.I= P×R/100×T where P is the invested amount of money, R is interest rate and T is time in years
Given that;
Simple interest=$77 , R=7% and T=1.5 years then
S.I= P×R/100×T...................substituting the values given
77=P×7/100 × 1.5
77=P×0.105
77/0.105 =P
$733.33=P
Answer:
Step-by-step explanation:
Find all solutions to the equation.
7 sin^2(x) - 14 sin x + 2 = -5
7sin^2(x)-14 sin x+7 =0
sin^2(x)-2sin x+1 =0
(sinx-1)(sinx-1)=0
sinx=1
x=π/2+2pi*k, k=integer
Answer:
Average rate of change over the interval 2<= x <= 5:
y = 3x + 5: 3
y = 3x^2 + 1: 21
y = 3^x: 78
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Step-by-step explanation:
2<= x <= 5
Average rate of change over the interval 2<= x <= 5:
<u>y = 3x + 5</u>
y(5) = 3(5) + 5 = 20
y(2) = 3(2) + 5 = 11
Average rate of change = (20 - 11)/(5-2) = 9/3 = <u>3</u>
<u />
<u>y = 3x^2 + 1</u>
y(5) = 3(5^2) + 1 = 75 + 1 = 76
y(2) = 3(2^2) + 1= 13
Average rate of change = (76 - 13)/(5-2) = 63/3 = <u>21</u>
<u />
<u>y = 3^x</u>
y(5) = 3^5 = 243
y(2) = 3^2 =9
Average rate of change = (243-9)/(5-2) = 234/3 =<u> 78</u>
Answer:
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Step-by-step explanation:
The <em><u>correct answer</u></em> is:
A) as the x-values go to positive infinity, the functions values go to negative infinity.
Explanation:
We can see in the graph that the right hand portion continues downward to negative infinity. The right hand side of the graph is "as x approaches positive infinity," since x continues to grow larger and larger. This means as x approaches positive infinity, the value of the function approaches negative infinity.