Toni invests money into an account which pays a fixed rate of compound interest each year. the total value, ? v, of her investment after t years is given by the formula: v = 1350 x 1.04^t answer questions a & b a- how much money did toni invest in pounds b- what rate of compound interest is paid each year

a. $ 1,350

b. 4%

Step-by-step explanation:

a. Given function that shows the total value of Toni's investment after t years,

,

Initially, ( when he invested ),

t = 0,

Thus, the invested amount = = 1350(1) = $ 1,350,

b. Since, the amount formula in compound interest,

Where,

P = Initial amount,

r = annual rate per period,

n  = number of periods per period,

t = number of years,

Here, the amount is compounded annually,

i.e. n = 1,

By the given function,

By comparing,

r = 0.04 = 4%

Hence, 4% interest is paid annually.

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..