What is 5% of 220? Show work please

Mathematics

2 answers:

Aloiza [94]4 years ago

6 0

What number is 5% of 220?

Since we don't know what number it is, we can use X.

The word "of" means multiply, so we can rewrite the problem.

luda_lava [24]4 years ago

5 0

It is easier (for me anyway) to find 10% then work around that.
Following that path would mean that, by making a table:

100% = 220
10% = 22
5% (Which is half the 10) = 11

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Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make any payments

Mama L [17]

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

$A(t) = A(0)(1+r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem:

Her initial balance is of $300, hence . A(0)=300

The growth rate is of 15%, hence R =0.15

Then,

$A(t) = A(0)(1+r)^t$

$A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\$

It will reach $450 after t years, for which A(t) = 450, hence:

$A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9$