Answer:
6
Step-by-step explanation:
Answer:
3.8 months
Step-by-step explanation:
Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
First step! What is 5.3% of 36k?
1,908
Second Step! Divide
51,800/1,908= 27.1488469602
Third Step! Round
27.1488469602= 27.1
27.1 weeks.
7 weeks in a month.
12 months in a year.
27.1/7= 3.8
3.8 months
Answer:
scale factor 1.5 or 1 1/2
Step-by-step explanation:
15/2 is the same as 15÷2 and 15÷2=7.5
now we need to turn 5 into 7.5
to do that lets multiply by 5(1.5) or 5(1+0.5) (the 5 on the outside of the parenthesis means to multiply it by all on the inside)
and we get 5+2.5 or 7.5
so the scale factor is 1.5 or 1 1/2
Answer:
(8h - 3.2h) + (-7.7d + 5d) - 17 = 4.8h - 2.7d - 17
Answer:
1) (x, y) = (1, 8)
2) (x, y) =<em>(-2, -4)</em>
3) (x, y) = (3, -1)
Step-by-step explanation:
1) Given the equations;
7x+2y =23 .... 1
6x+y= 14 .... 2
From 2; y = 14-6x
Substitute into 1;
From 1; 7x+2y =23
7x + 2(14-6x) = 23
7x + 28 - 12x = 23
-5x = 23 - 28
-5x = -5
x = 5/5
x = 1
Substitute x = 1 into y = 14-6x
y = 14 - 6 (1)
y - 14 - 6
y = 8
Hence (x, y) = (1, 8)
2) Given
y=-4
y=-3x-10
We will simply equate bith expression and get x;
-3x - 10 = -4
-3x = -4 + 10
-3x = 6
x = 6/-3
x = -2
<em>Hence the solution is (-2, -4)</em>
<em></em>
3) Given the equation
y=-3x+8
y=5x-16
Equate both expressions;
-3x + 8 = 5x - 16
-3x - 5x = -16 - 8
-8x = -24
x = 24/8
x = 3
Substitute x = 3 into y=-3x+8
y = -3(3) + 8
y = -9 + 8
y = -1
Hence the solution (x, y) = (3, -1)
