Odette deposited $3,624.40 into a savings account with an interest rate of 2.1% compounded annual. about how long will it take for the account to be worth $7,000? a. 31 years, 9 months b. 30 years, 9 months c. 28 years, 4 months

7000 = 3624*(1+0.21)^x

7000 = 3624 *1.021^x

7000/3624 = 1.021^x

875/453 = 1.021^x

xlog(1.021 = log(875/453

x = 31.677

 31 years 9 months

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.