Answer: Cynthia must invest a smallest amount of 6911 pounds.
Explanation:
Compound interest makes the initial deposit grow exponentially in the number of years. So let us denote the initial investment (deposit) x.
After one year the balance with interest will be x(1+0.05)=x*1.05
After two years the balance will be (x*1.05)*1.05, and so on.
After t years the balance will be 
Now we are looking at balance after t=3 years, and we know that balance should be 8000 pounds, or more.
It is easy to solve for x:
So, for inequality to be satisfied, Cynthia must invest a smallest amount of 6911 pounds.
Answer:
19
Step-by-step explanation:
b×3+5-1
=5×3+5-1
= 19
A rectangle is an irregular polygon. I hope I helped you!!!
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Answer:
10 squared units
Step-by-step explanation:
This triangle is pretty easy since it creates a right triangle. So the base length and height length are pretty easy to identify.
The area of a triangle is .5*base*height.
The base length after drawing the points is a horizontal so just count it or do 4-0=4.
The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.
So the area of the triangle is .5*4*5=.5(20)=10 units squared.
Now if you didn't fill like drawing it and you knew how to find the determinant.
You just compute
.5 times det| 0 -1 1 |
| 0 4 1 |
| 4 -1 1 |
.5[ 0 det| 4 1 | - -1 det| 0 1 | + 1 det | 0 4 | ]
| -1 1 | | 4 1 | | 4 -1 |
.5[ 0 - -1(0-4) + 1(0-16)]
.5[ 0 -4 -16]
.5[-20]
-10
And if you get a negative just take the absolute value of it giving you 10.
