Tom invests $10,000 in a savings account that offers 3.5 percent interest, compounded continuously.
in 10 years tom will have earned $ in interest, and in years the investment will double. (use the rule of 70 where required.)

Part 1:

Amount invested in savings = $10000

APR = 3.5% or 0.035

t = 10 years

As given the account is compounding continuously, so the future value of compound continuously is given by:

Putting these values in formula we get;

A = $14,190.68

Interest earned = dollars

Part 2:

The rule of 70 is used to get a rough estimate of the time, in which the investment will double. So, we divide 70 by the APR to get the years.

Time =

Time = 20 years

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph