Answer:
d) 100 feet
Step-by-step explanation:
The x value of the vertex (highest point in this case) is found via -b/2a:
-80/-32 = 2.5
Plug 2.5 into the function:
h(2.5) = -16(2.5)² + 80(2.5)
= - 100 + 200 = 100
Answer:
The last investment (C) has the least interest of $600
The other two investments (A and B) have the <u>same</u> amount of interest of $1800.
Step-by-step explanation:
<u>Simple Interest Formula</u>
I = Prt
where:
- I = interest earned
- P = principal
- r = interest rate (in decimal form)
- t = time (in years)
<u>Investment A</u>
- P = $2000
- r = 10% = 0.1
- t = 9 years
Substitute the given values into the formula and solve for I:
⇒ I = 2000(0.1)(9)
⇒ I = $1800
<u>Investment B</u>
- P = $3000
- r = 3% = 0.03
- t = 20 years
Substitute the given values into the formula and solve for I:
⇒ I = 3000(0.03)(20)
⇒ I = $1800
<u>Investment C</u>
- P = $2000
- r = 10% = 0.1
- t = 3 years
Substitute the given values into the formula and solve for I:
⇒ I = 2000(0.1)(3)
⇒ I = $600
The last investment (C) has the least interest of $600.
The other two investments (A and B) have the <u>same</u> amount of interest of $1800.
Answer:
23.1567
Step-by-step explanation:
710000(1+1.49/100)ⁿ=1000000
710000×1.0149ⁿ=1000000
1000000÷710000=1.0149ⁿ
1.4084507=1.049ⁿ
log1.4084507=ⁿlog1.0149
log1.4084507/log1.0149=ⁿ
Put in order from smallest to largest
–9, –4, –1, 2, 3, 5, 7
Minimum = –9<span>
Maximum = 7
</span>Range = 7 - (-9) = 7 + 9 = 16
Range = the difference between the maximum and minimum data values
hope it helps
Answer:
D. Because we would be interested in any difference between running on hard and soft surfaces, we should use a two-sided hypothesis test
Step-by-step explanation:
Hello!
When planning what kind of hypothesis to use, you have to take into account any other studies that were made about that topic so that you can decide the orientation you will give them.
Normally, when there is no other information available to give an orientation to your experiment, the first step to take is to make a two-tailed test, for example, μ₁=μ₂ vs. μ₁≠μ₂, this way you can test whether there is any difference between the two stands. Only after having experimental evidence that there is any difference between the treatments is there any sense into testing which one is better than the other.
I hope you have a SUPER day!
