Answer:
$ 50,340.97
Step-by-step explanation:
From the above question, we can deduce that we are to find the Initial amount invested which is also called the Principal.
The formula to find Principal in a compound interest question is:
P = A / (1 + r/n)^nt
Where:
A = Total Amount obtained after invested = $80,000
r = Interest rate = 3.1% = 0.031
n = number of times interest in compounded = Quarterly = 4
t = time in years = 15
P = $80,000/(1 + 0.031/4)^4 × 15
P = $80,000/(1 +0.00775)^60
P = $ 50,340.97
Hence, James would have to invest $50,340.97 today to have $80,000 in 15 years.
The equation looks like this:
26=x*3.5+8.50
where x is the number of pen you bought.
We solve it like this:
first, we subtract 8.50 from both sides:
17.50 =3.5*x
now we divide both sides by 3.5:
5=x
so you purchased 5 pens.
the exact value of sin A to the nearest ten- thousandth is 0. 6625
<h3>Using the pythagorean theorem</h3>
a² + b² = c²
The opposite side is unknown, so use the pythagorean theorem to find it
c = hypotenuse = 4
a= opposite site = ?
b= adjacent side = 3
Substitute into the formula
4² = a² + 3²
16 = a² + 9
a² = 16 -9 = 7
Find the square root
a =√7 = 2. 65
To find Sin A, use
Sin A = opposite side ÷ hypotenuse
Sin A = 2. 65 ÷ 4 = 0. 6625
Thus, the value of sin A is 0. 6625
Learn more about pythagorean theorem here:
brainly.com/question/654982
#SPJ1
The probability is all the numbers on the dice added up under 6 so its 6/18 hope this helps :)
Here are some probability scenarios.
- Flipping a coin and seeing if it is heads or tails.
- Thinking to yourself: "Is it going to rain or hail?"
- Spinning a spinner and seeing what color it lands on.
- Probability in winning the lottery.
- Having 5 pairs of black shoes and one pair of yellow shoes.
The probability of picking the yellow shoe is 1/5.
There are lots of more examples out there!
<em>Hope helps!-Aparri </em>
