Answer:
Future amount (A) = $1,258.77 (Approx)
Step-by-step explanation:
Given:
Amount deposit (p) = $693
Rate of interest monthly (r) = 4.9% / 12 = 0.003833
Number of month (n) = 13 × 12 = 156
Find:
Future amount (A)
Computation:
![A = p [1+r]^n \\\\ A = 693 [1+0.003833]^{156}\\\\ A= 693[1.8163]\\\\ A = 1258.77](https://tex.z-dn.net/?f=A%20%3D%20p%20%5B1%2Br%5D%5En%20%5C%5C%5C%5C%20A%20%3D%20693%20%5B1%2B0.003833%5D%5E%7B156%7D%5C%5C%5C%5C%20A%3D%20693%5B1.8163%5D%5C%5C%5C%5C%20A%20%3D%201258.77)
Future amount (A) = $1,258.77 (Approx)
Lets Anna's age = A
Mr. Goldstein age = G
Mr. Goldstein is 4 times as old as his daughter Anna.
So G= 4A
In 4 years, he will be 3 times as old as Anna
we add 4 with Both their ages
G + 4 = three times of A + 4
G + 4= 3(A + 4)
We know G= 4A, replace it in above equation
4A + 4= 3(A + 4)
4A + 4= 3A + 12
Subtract 3A from both sides
A + 4 = 12
Subtract 4 from both sides
A = 8
So Anna's age = 8 years
Answer:
1
Step-by-step explanation:
x+2/2x=3/2
2x×3=2x+4
6x=2x+4
4x=4
x=4/4
x=1
Answer:
12 sapphires
Step-by-step explanation:
Let's call the number of sapphires x. This means the number of rubies is the total number of gems minus x, or 17-x.
# of Sapphires: x
# of Rubies:17-x
A sapphire is worth 5 (gold coins) each, and a ruby is worth 8.
We also know the total amount of money is 100 coins, so
5*x+8*(17-x)=100
5x+136-8x=100
-3x=-36
x=12
Remember:
# of Sapphires: x
# of Rubies:17-x
...so Lara found 12 sapphires and 17-12=5 rubies.
