Answer: $187 will be in the account after 6 years.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $100
r = 11% = 11/100 = 0.11
n = 1 because it was compounded once in a year.
t = 6 years
Therefore,.
A = 100(1 + 0.11/1)^1 × 6
A = 100(1 + 0.11)^6
A = 100(1.11)^6
A = $187
Answer:
10 ft
Step-by-step explanation:
To get their total reach, we add the two numbers.
5⅙
+4⅚
Add integers and fractions
5⅙
<u>+4⅚
</u>
9⁶/₆
Convert the fraction to an integer
⁶/₆ = 1
Add the 1 to the 9
9 + 1 = 10 ft
If Madison and Jade lay end to end, they will they reach 10 ft.
Answer:
Third option is correct. Scale factor 3 ; enlargement.
Step-by-step explanation:
It is given that the figure A'B'C'D' is a dilation of figure ABCD.
We know that after dilation the corresponding sides of image and preimage are in the same proportion.
The image of AD is A'D'.
From the figure it is noticed that the A(-1,2), D(-1,-1), A'(-3,6) and D'(-3,-3).
Distance formula is
Scale factor is constant which represents the relation between image and preimage.
Therefore the scale factor is 3.
If k>0 it means enlargement and if k<0 it means reduction. Therefore third option is correct.
So the slope formula is m= (y2-y1) /
(x2-x1). You can label -2 as x1 and 11 as y1. And the other point is x2 and y2. They you just plug it in the m= (y2-y1) /
(x2-x1) formula and solve. To get a better understanding look up, how to find the slope of a line with two points. Hope it helps
Answer:
4=x y=325
Step-by-step explanation:
60x + 20 = 65x
group the variables
20=5x
because you subtracted 60x from both
4=x
because you divided 5 from both
now substitute 5 for x
65×5 is 325
y=325
