Answer:
Step-by-step explanation:
If $10,000 is invested at an interest rate of 2% per year, compounded semiannually, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)
a)6 years
b)12 years
c)18 years
***
compound interest formula: A=P(1+r/n)^nt, P=initial investment, r=interest rate, n=number of compounding periods per year, A=amt after t-years.
For given problem:
P=10000
r=.02
n=2
t=6, 12, 18
..
A(6)=10000(1+.02/2)^2*6
A(6)=10000(1.01)^12=11,268.25
A(12)=10000(1.01)^24=12,697.35
A(18)=10000(1.01)^36=14,307.69
Answer:
y - 1.4x = - 6.8
Step-by-step explanation:
To find the equation: find the slope, use point-slope form to calculate the equation, then convert the equation to standard form.
Slope: 
Use point slope form: y - y₁ = m(x - x₁)
Plug in x = 27, y = 31, and m = 1.4
y - 31 = 1.4(x - 27)
y - 31 = 1.4x - 37.8
y = 1.4x - 6.8
Convert this into standard form: ax + by = c
y - 1.4x = - 6.8
Answer:
<AXC = 101 degrees.
Step-by-step explanation:
The question says that XB is a bisector which means that <AXB = 1/2 of AXC
You can't do the question if that assumption isn't true.
<AXC = 8x - 7
<AXB = 3x + 10
3x + 10 = 1/2 ( 8x - 7) Multiply both sides by 2
2(3x + 10) = 8x - 7 Remove the brackets
6x + 20 = 8x - 7 Add 7 to both sides
6x + 20 + 7 = 8x Combine
6x + 27 = 8x Subtract 6x from both sides
27 = 8x - 6x Combine
27 = 2x Switch
2x = 27 Divide by 2
x = 27/2
x = 13.5
AXC = 8x - 7
AXC = 8*13.5 - 7
AXC = 108 -7
AXC = 101
Answer:
26
Step-by-step explanation:
3+14=17 HHS’s hdhbd hdhhd
