Sheldon made a deposit into an account that earns 8% simple interest. After 8 years Sheldon earns $800. What was his initial deposit?
Answer:
$1250
Step-by-step explanation:
Given data
Rate= 8%
Time= 8years
Simple interest= $800
Required
The principal P
We know that the expression for simple interest is given as
SI=PRT/100
substitute
800= P*8*8/100
cross multiply
800*100= 64P
80000=64P
divide both sides by 64
P= 80000/64
P=$1250
Hence the initial deposit was $1250
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15. There is a two-digit number such that the sum of its digits is 6 while the
of the original number. Find this number.
product of the digits is 1/3 of the original number. Find this number
Answer:
15
Step-by-step explanation:
"There is a two-digit number such that the sum of its digits is 6"
The digits can be
0, 6 possible numbers: 06, 60
1, 5 possible numbers: 15, 51
2, 3 possible numbers: 23, 32
3, 3 possible numbers: 33
"the product of the digits is 1/3 of the original number"
That means we need a number that is 3 times the product of the digits.
0, 6 product of the digits: 0 3 times product: 0
1, 5 product of the digits: 5 3 times product: 15
2, 3 product of the digits: 6 3 times product: 18
3, 3 product of the digits: 9 3 times product: 27
The only number that appears with both conditions is 15.
Answer: 15
Solve The System of Linear Equations
3y = -2x + 33 and -4y = 8x - 92
Answer:
-3060+6y
Step-by-step explanation:
It costs $10.99 per month for an online video streaming service. Jackie watched 28 videos in one month. What was the price per video? Round to the nearest hundredth.
Answer:
$0.39 per video
10.99÷28= 0.39
0.39×28=10.99
HELPPP! I’ll mark Brainliest (NO joke answers)
Answer:
3) -3 < x < 5
Step-by-step explanation:
g(x) is the y coordinate, so it is when y is more than 0, here, y is >0 when x is from -3 to 5, so option 3
please help i’ll mark brainliest
Answer:
6...................
Questions about the domain (time in minutes) of the table of values:
(a) What is the minimum (lowest) time value in minutes?
(b) What is the maximum (highest) time value in minutes?
(c) What is the domain (all the time values on the x-axis)?
Need Help?
Tom says that he needs 6 rolls to obtain each possible outcome on a 6-sided die. On the fourth roll, he rolls his second "3”. Tom says that the die is loaded and that each outcome is not equally likely. Is Tom correct here? If you think Tom is incorrect, how many rolls should Tom make until he sees each number occurring about 1/6 of the time?
You must show all of your work to receive credit.
I need the last part as I know that he is incorrect
Answer:
no he is not correct
Step-by-step explanation:
$31,000 at 1% compounded annually for 6 years
Answer:
ggsdfgsdfgsdfgetertertewrt
Step-by-step explanation:
gbgbsgsbgsfgsgs
What are the zero(s) of f(x + 3)?
Answer:
function f(x) = x + 3 has a zero at x = 3 since f(3) = 0.
Step-by-step explanation:
Simplify in standard form (7m-2) +(2m-4)
Answer:
Combine the like terms.
9m - 6 is your final answer.
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
*PLZ ANSWER :)* Find the area of the following figure:
A.) 300cm²
B.) 400cm²
C.) 252cm²
D.) 312cm²
Answer:
D) 312 square cm
Step-by-step explanation:
The area of the rectangle is 192 square cm (16*12). The area of each triangle is 60 square cm (12*10/2). 192+60+60=312 square cm
Find volume. Round to nearest tenth
Answer:
346.41 i hope this helps and i got a question for you what does brainliest mean?
Step-by-step explanation:
SOMEBODY PLZ ANSWER!
This graph is from a publication of the Centers for Disease Control and Prevention (2017). The y-axis shows the percentage living with diabetes.
The Board of Directors of a medical school wants to use the trend to predict the percentage in 2020 so that they can help train enough doctors to handle the growing numbers. Use a visual estimate of the line of best fit to make a prediction. Do you think your estimated line of best fit will be accurate? Explain why or why not.
Answer:
My estimate is around 16 million cases by 2020
Step-by-step explanation:
I used the formula of rise over run
(The "Rise over Run" formula is y2-y1/x2-x1)
I used 2010's total of cases 22 million and 1960's 4 million
Now I subtract 2010 and 1960
Which is 40 or 4 in this case
Then I subtracted 22 million by 4 million which is 5.5
Round 5.5 to 6 (Since it is an estimate)
Divide 6 and 4
6/4= 1.5 which I rounded to 2 million now I start at 1960's 4 million case and add 2 million for 10 year or multiply 6 by 2 which is 12 and add it by 4 which is 16
Hence 16 million
Hope this helps
You roll a 6-sided die.
What is P(5)?
Answer:
1/6
Step-by-step explanation:
you have a 6 sided die that is numbered 1, 2, 3, 4, 5, and 6.
you roll it once, so the probability that you will roll a five is 1/6
this is because you only want one specific number so that goes on the numerator of the fraction.
then, you have to multiply how many sides you have on the die to the number of rolls. in this case we have one roll and six sides. so the six goes on the denomerator side of the fraction
What is 2 (log Subscript 3 Baseline 8 + log Subscript 3 Baseline z) minus log Subscript 3 Baseline (3 Superscript 4 Baseline minus 7 squared) written as a single logarithm?
log Subscript 3 Baseline 2 z
log Subscript 3 Baseline 2 z squared
log Subscript 3 Baseline StartFraction z squared Over 4 EndFraction
log Subscript 3 Baseline StartStartFraction 64 z squared Over StartFraction 81 OverOver 49 EndEndFraction
Answer:
log Subscript 3 Baseline StartFraction z squared Over 4 EndFraction
Step-by-step explanation:
The single logarithmic form f the expression is [tex]log_3(\frac{9(64z^2)}{81} )[/tex]
Logarithm and indicesGiven the logarithmic expression;
[tex]2(log_38+log_3z)-log_3(3^4-7^2)[/tex]
We are to write it as a single logarithm
Using the product and quotient law of logarithm;
[tex]2(log_38+log_3z)-log_3(3^4-7^2)\\=2(log_38+log_3z)-log_3(\frac{81}{49} )\\=2(log_38z)-log(\frac{81}{9})\\=log_364z^2-log(\frac{81}{9})[/tex]
Simplify the final result to have:
[tex]=log_364z^2-log(\frac{81}{9})\\=log_3(\frac{9(64z^2)}{81} )[/tex]
Hence the single logarithmic form f the expression is [tex]log_3(\frac{9(64z^2)}{81} )[/tex]
Learn more on logarithm here: https://brainly.com/question/25710806
Zach has an above-ground pool that has a radius of 5.5 feet. He wants to put a new wall liner around his pool and needs to know the circumference of the pool. Find the circumference of the pool to the nearest hundredth.
Answer: 34.54feet
Step-by-step explanation:
Thw circumference of the pool will be calculated by using the formula:
= 2πr
where
π = 3.14
r = 5.5
Therefore, circumference = 2πr
= 2 × 3.14 × 5.5
= 34.54feet
Therefore, the circumference of the pool to the nearest hundredth is 34.54feet.
Rose made 56 phone calls in 3 months. In the first month she made 24 calls, and in the second month she made 13 calls. How many calls did she make in the third month?
Answer:
19
Step-by-step explanation:
Call made in the 3rd month = total calls made - calls made in the first month - call made in the 2nd month
56 - 24 - 13 = 19 calls
Solve 0 = 5x2 – 1.5x – 0.5 by using the graphing calculator to graph the related function. What are the solutions to the equation?
–0.5 and 0.2
–0.2 and 0.5
–0.5 and 0.5
–0.2 and –0.5
Answer:
b -0.2 and 0.5
Step-by-step explanation:
I need some help finding the X-coordinate of the circle's center.
Answer:
X = 1
Y = -3
Step-by-step explanation:
The Cartesian coordinate system, also called the rectangular coordinate system, is based on a two-dimensional plane consisting of the x-axis and the y-axis.
Which letter has two lines of symmetry? Y S M X
plzz help due tomorrow
Answer:
X
Step-by-step explanation:
one is going vertical and the the other is horizontal
Michelle read 72 pages in 3 hours. What was her unit rate of pages read per hour?
Answer:
24 pages per hour
Step-by-step explanation:
72 pages = 3 hours
To find the rate of pages per hour, divide both sides by 3.
72/3 = 24, 3/3=1
24 pages per 1 hour, 24:1
math question pls help
Find the area of a circle with a diameter of 6.8 feet
Answer:
The area of a circle with diameter 6.8 is 36.32
Step-by-step explanation:
Answer:
36.32
Step-by-step explanation:
area = pir^2
radius = diameter ÷ 2
pi3.4^2=36.32
find the measure of the missing angles
Answer:
<B = 18
x+23 = 35
5x = 60
Step-by-step explanation:
Answer:
12. 18
14. x = 12; x + 23 = 35; 5x = 60
Step-by-step explanation:
12.
100 = ? + 82
? = 18
14.
x + 23 + 5x + 85 = 180
6x + 108 = 180
6x = 72
x = 12
x + 23 = 12 + 23 = 35
5x = 5 * 12 = 60
In Littletown, the probability that a baseball team goes to the city playoffs is
0.20. The probability that the team goes to the state playoffs given that the
team goes to the city playoffs is 0.10.
What is the probability that a randomly selected team from Littletown goes to
the city and state playoffs?
• A. 0.06
• B. 0.10
• C. 0.50
• D. 0.02
I need help on this problem for math, please answer ASAP :)
Answer:
x = 6
Step-by-step explanation:
10x + 11 + 17x + 7 = 180°
combine like terms:
27x + 18 = 180
subtract 17 from both sides of the equation:
27x = 162
divide both sides by 27:
x = 6
PLEASE HELP NOW! I WILL MARK BRAINLIEST!
Answer:
17 units
Step-by-step explanation:
Given 2 congruent chords in the circle, then they are equidistant from the centre and perpendicular
There is a right triangle formed by legs 15 and 8, with radius r being the hypotenuse.
Using Pythagoras' identity in this right angle
r² = 15² + 8² = 225 + 64 = 289 ( take the square root of both sides )
r = [tex]\sqrt{289}[/tex] = 17
- 7th Grade Work -
Aiden's class voted on whether or not to do science fair projects in groups. Out of 40 votes, 24 were in favor of working in groups. What percentage of the votes were in favor of working in groups
Help me pls! Thnx if u do ✨✌️