Hi Brainiac
7r= 10+5
7r= 15
Divide both sides by 7
7r/7= 15/7
r= 5/7
or the decimal will be r= 2.14
I hope that's help:0
Answer:
Step-by-step explanation:
a. Y intercept is where the line crosses the y axis, so for l1 it’s (0,4). Answer is 4.
b. Y intercept for l2 is point (0,2). Answer is 2.
c. l1 gradient is -1/2. Rise/run
So l1 equation is y = -1/2x + 4
l2 gradient is 1.
Equation is y = x + 2
e. x+2= -1/2x + 4
1.5x = 2
x = 1.333...
y = plug into one of the equations value of x. So y = 3.333...
f. 1.33+ 2 = 3.33
-1/2 times 1.33 + 4 = 3.33 (rounded)
Answer:
Step-by-step explanation:
Remark
The surface area is the area of all six sides when the object is a box.
Formula
SA = 2*L*w + 2*L*h + 2*w*h
Givens
L = 6 ft
w= 3 ft
h = 2.5 feet
Substitute and Solution
SA = 2*6*3 + 2*6*2.5 + 2*3*2.5
SA = 36 + 30 + 15
SA = 81
Answer:
The principal which should be invested in account is $125,698.324
Step-by-step explanation:
Given as :
The monthly payment amount = $2500
The time period = 6 years = 6 × 12 = 72 months
So, The payment for 72 months = $2500 × 72 = $180,000
The rate of interest compounded monthly = 6%
The investment amount in account = P
Now,<u> From compounded method </u>
Amount = Principal × ![(1+\frac{Rate}{12\times 100})^{12\times Time}](https://tex.z-dn.net/?f=%281%2B%5Cfrac%7BRate%7D%7B12%5Ctimes%20100%7D%29%5E%7B12%5Ctimes%20Time%7D)
$180,000 = P × ![(1+\frac{6}{12\times 100})^{12\times 6}](https://tex.z-dn.net/?f=%281%2B%5Cfrac%7B6%7D%7B12%5Ctimes%20100%7D%29%5E%7B12%5Ctimes%206%7D)
Or, $180,000 = P × ![(1.005)^{72}](https://tex.z-dn.net/?f=%281.005%29%5E%7B72%7D)
Or, $180,000 = P × 1.432
∴ P =
= $125,698.324
Hence The principal which should be invested in account is $125,698.324 . Answer