After 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.
<h3>What is an exponential function?</h3>
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent. 
where a is a constant and a>1
We have:
A philanthropist pledges to donate 10% of a fund each year.
We can find the amount left after 7 years as follows:
A = 450000(1 - 0.1)⁷
10% of a fund each year.
Rate r = 10% = 0.1
A = 450000(0.9)⁷
A = $2152336.05
Thus, after 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.
Learn more about the exponential function here:
brainly.com/question/11487261
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Formula of the sum of the 1st nth term in a Geometric Progression:
Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)
Sum = (-11)[1-(-5⁸)] /[(1-(-5)]
Sum = (-11)(1- 390625)/(6)
SUM = 716,144
Answer:
34 nickels, 39 dimes, 78 quarters
Step-by-step explanation:
q = quarters, d = dimes, n = nickels
n = d - 5
q = 2d
.25q + .10d + .05n = 7.55
<em>Plug in the first 2 equations into the third one</em>
.5d + .10d + .05(d - 5) = 7.55
<em>Open up the Parenthesis</em>
.5d + .10d + .5d - .25 = 7.55
<em>Combine Like Terms</em>
.2d - .25 = 7.55-->
.2d = 7.8 -->
d = 39 -->
n = 39 - 5 = 34
q = 2(39) = 78