Answer:
![m=\frac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2%7D%7B3%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (1, -5)
Point (7, -1)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:
![m=\frac{-1+5}{7-1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-1%2B5%7D%7B7-1%7D)
- Add/Subtract:
![m=\frac{4}{6}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4%7D%7B6%7D)
- Simplify:
![m=\frac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2%7D%7B3%7D)
Answer:
d
Step-by-step explanation:
C. 16.4
Step-by-step explanation:
The formula to apply here is;
A=P(1+r/n) ^nt where
A=final amount
P=starting amount
r=rate of interest annually
n=number of compounding per year
t=time in years
Given ; P=$500, A=$750 , r=2.5%=0.025 , t=?,n=1
Substitute values;
A=P(1+r/n)^nt
$750=$500(1+0.025)^t
750=500(1.025)^t
750/500=(1.025)^t
1.5=(1.025)^t
log 1.5 =t log (1.025)
log 1.5/log 1.025 = t
16.4 =t
Learn More
Compound interest formula :brainly.com/question/12148233
Keywords : bank account, interest per year, value of account, years
#LearnwithBrainly
Answer:
b. – 0.4(x + 1.6) = 1.6
Step-by-step explanation:
Circumference = πd, where d = diameter
we know the wheel has a diameter of 27 inches, so the total circumference is 27π, and that's the arc length of one revolution.
there are 5280 feet in 1 mile and 12 inches in 1 foot.
so in 40 miles there are 40(5280)(12) inches.
and we also know that there are 60 minutes in 1 hour.
![\cfrac{40~miles}{hour}\implies \cfrac{~~ \frac{40(5280)(12)~in}{27\pi ~\frac{in}{rev}}~~}{60~minutes}~~\approx ~~\cfrac{29878.688~rev}{60~minutes}~~ \approx ~~497.978~\frac{rev}{minute}](https://tex.z-dn.net/?f=%5Ccfrac%7B40~miles%7D%7Bhour%7D%5Cimplies%20%5Ccfrac%7B~~%20%5Cfrac%7B40%285280%29%2812%29~in%7D%7B27%5Cpi%20~%5Cfrac%7Bin%7D%7Brev%7D%7D~~%7D%7B60~minutes%7D~~%5Capprox%20~~%5Ccfrac%7B29878.688~rev%7D%7B60~minutes%7D~~%20%5Capprox%20~~497.978~%5Cfrac%7Brev%7D%7Bminute%7D)