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:

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,


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

It will take about 2.9 years for Emma's balance to reach $450
Learn more about logarithm here
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Answer:
32 in, assuming 2 is your height, 208 in assuming 13 is your height
Step-by-step explanation:
Area = Base x Height
*You can always use this formula to find the area, but only for parallelograms
Answer:
(23/27, 11/9)
Step-by-step explanation:
Given the simultaneous equation;
-6x+5y=1..... 1
6x+4y=10.... 2
Add both equations
5y + 4y = 1+10
9y = 11
y = 11/9
Substitute y = 11/9 into 1;
From 1;
-6x+5y=1.
-6x + 5(11/9) = 1
-6x + 55/9 = 1
-6x = 1- 55/9
-6x = (9-55)/9
-6x = -46/9
x = -46/-54
x = 23/27
The solution to the system of equation is (23/27, 11/9)
140 I believe because you subtract 40 from 180 since the two angles equal 180
Well, there are 2.54 centimeters in an inch, so if you multiply 12 by 2.54, you get 30.48, which would be how many centimeters there are in 12 inches. Hope this helps!