$972.84 is invested in total after 1 year.
Correct option is (D)
What is compound interest?Compound interest is generally understood to be interest that is earned on both the original investment and any subsequent interest. Compound interest is, thus, the interest earned on both the initial principal and the interest that has already been accrued on this principal.
As per the given data:
Compounding frequency (n) = 12
Final value (FV) = $1000
Time period (t) = 12 months = 1 year
[tex]FV = P(1+\frac{r}{n})^{nt}[/tex]
FV – Future worth of the investment is the final balance in our calculation.
P – Initial balance (the value of the investment);
r – Annual interest rate (in decimal);
n – Number of times the interest is compounded per year (compounding frequency); and
t – Numbers of years the money is invested for.
Substituting the given values
[tex]1000 = P(1+\frac{0.06}{12})^{12 \times 1}[/tex]
[tex]P = \$ 972.84[/tex]
Hence, $972.84 is invested in total after 1 year.
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answer 7 and 8 for 16 points
9514 1404 393
Answer:
7) 42 yd²
8) 32 in²
Step-by-step explanation:
Put the given numbers in the appropriate area formula and do the arithmetic.
__
7) The area of a triangle is given by the formula ...
A = 1/2bh . . . . . where b is the base length and h is the height
A = 1/2(12 yd)(7 yd)
A = 42 yd²
__
8) The area of a parallelogram is given by the formula ...
A = bh
A = (8 in)(4 in)
A = 32 in²
multiply 8(-p+8) plz
Answer:
-8p+64
Step-by-step explanation:
Multiply each term in parentheses by 8
8×-p= -8p
-8p+8×8 (8×8=64)
= -8p+64
Find the Area of the Triangle
Answer:
50 squared m
Step-by-step explanation:
Volume for triangles is base x hight / 2
10 x 10 = 100 / 2 = 50
A company that manufactures light bulbs finds one out of every twenty
light bulbs are defective (broken). In a sample of 100 light bulbs, how many
should the company expect to be defective? (YOU CAN PUT A WHOLE
NUMBER FOR THE ANSWER)
Answer: 5
Step-by-step explanation: P(broken bulb) = 1/20 =0.05
Estimated value E = np = 100·0.05 = 5
What is the value of x in the equation 10 = 3/5 x + 1?
A. 6
D. 16
B. 7 C. 15
A high school student volunteers to
present a report to the administration about the types of lunches students prefer.
He surveys members of his class and records their choices. What type of sampling did the student use?
systematic random sampling
voluntary sampling
• convenience sampling
stratified sampling
Answer:
convenience sampling
Step-by-step explanation:
Question 5
A round spinner is divided into five sections, where the sections do not have the same size. Using the measure of the interior angles, the probability of the spinner landing on any individual space on
a spin is calculated and given in the table.
©
1
3
4
5
Section
Probability
2
0.20
0.40
0.20
0.15
0.05
A statistics student is asked to test the integrity of the spinner using a chi-square goodness-of-fit test. What is the minimum number of times the spinner should be spun to conduct this test?
Answer:
The correct answer is 100
Two sprinters, Victor and Aaron, want to find out who has the faster time when compared to each of their teams. Victor has a time of 10.9 seconds, and his team has a mean time of 11.4 seconds and a standard deviation of 0.2 seconds. Aaron has a time of 10.6 seconds, and his team has a mean of 11.5 seconds and a standard deviation of 0.1 seconds. Who has the faster time when compared to each of their teams
Answer:
The answer is "-9".
Step-by-step explanation:
[tex]\mu = 11.4\\\\\sigma = 0.2\\\\ x = 10.9\\\\[/tex]
[tex]P(X <= 10.9)=?[/tex]
The z-value is determined using the central boundary theorem
[tex]z = \frac{(x - \mu)}{\sigma}[/tex]
[tex]= \frac{(10.9 - 11.4)}{0.2}\\\\ = -2.5[/tex]
Calculating the value for Aaron
[tex]\mu = 11.5\\\\ \sigma = 0.1\\\\ x = 10.6\\\\ P(X <= 10.6)=?[/tex]
When the z-value is calculated using Central Limit Theorem
[tex]z = \frac{(x - \mu)}{\sigma}[/tex]
[tex]= \frac{(10.6 - 11.5)}{0.1}\\\\ = -9[/tex]
Answer:
The times are equal when compared to each of their teams.
Step-by-step explanation:
which table shows data with variability?
Answer:
the table should show the data
You and your friend enter a drawing with 3 different prizes. A total of 11 people entered the drawing, and prizes are awarded randomly.
There are 990 ways to award the prizes.
What is the probability that you win first prize and your friend wins second prize?
A. [tex]\frac{1}{11}[/tex]
B. [tex]\frac{9}{990}[/tex]
C. [tex]\frac{1}{990}[/tex]
D. [tex]\frac{11}{990}[/tex]
The probability that you win first prize and your friend wins second prize is given as follows:
B. 9/990.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The total number of outcomes is given as follows:
990.
The number of desired outcomes is of 9, as:
You win the first prize.Your friend wins the second prize.There are 11 - 2 = 9 people that can win the third prize.Hence:
1 x 1 x 9 = 9.
Meaning that the probability is of:
p = 9/990.
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A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents to leak from the tank when 0.02% of the
radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
The tank must remain intact for lears.
(Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as needed.)
Answer:
t = 1180 years
Step-by-step explanation:
We will solve this using the radioactive decay formula which is;
A = A_o × 2^(-t/h)
Where;
A = Amount of liquid remaining after time (t)
A_o = initial amount of liquid at initial time
t = time of decay
h = half-life of the liquid
We have;
A_o = 1(we assume it is 100% which is 1)
A = 0.02% = 0.0002
h = 96 years
Thus;
0.0002 = 1 × 2^(-t/96)
0.0002 = 2^(-t/96)
(-t/96)log 2 = log 0.0002
(-t/96) = (log 0.0002)/log 2
(-t/96) = -12.2877
t = 96 × 12.2877 (negative has canceled out)
t = 1179.6192
To the nearest year gives;
t = 1180 years
How many degrees Fahrenheit is -20°C?
answer:
-4°f
step-by-step explanation:
(-20°c × 9/5) + 32
= -4°f
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
If the triangles are similar, what is the value of x?
Answer:
Step-by-step explanation:
125
Answer:
[tex]x=42[/tex]
Step-by-step explanation:
[tex]suppose, a=?[/tex]
[tex]a+126+16=180[/tex]
[tex]a+142=180[/tex]
[tex]a=180-142[/tex]
[tex]a=38[/tex]
[tex]NOW,[/tex]
[tex]a+16+3x=180[/tex]
[tex]38+163x=180[/tex]
[tex]54+3x=180[/tex]
[tex]3x=180-54[/tex]
[tex]3x=126[/tex]
[tex]x=126/3[/tex]
[tex]x=42[/tex]
----------------------------
hope it helps..
have a great day
Which one is greater?
1.74 × 0.84
OR
1.79 × 0.69
- NO LINKS DOCS OR FILES ETC
Answer:
1.75 * 0.84
Step-by-step explanation:
1.74 * 0.84 = 1.4616
1.79 * 0.69 = 1.2351
Answer:
1.74 x 0.84 is greater
Step-by-step explanation:
1.74 x 0.84 = 1.4616
while
1.79 x 0.69 = 1.23509
Which values are solutions of the inequality 5 < y -8
8 , 9. , 13. , 15. , 20
Answer:
5 is greater than y-8 since 5 is positive it + in the begging +5 while - 8 is less than 0 because it has - in the begging
Answer: 15 and 20
Step-by-step explanation:
just did this
Josie makes peanut butter sandwiches. She uses 1/8 cup of peanut butter on each sandwich. How many cups of peanut butter dose she need for 9 sandwiches?
Answer:
9/8
Step-by-step explanation:
.........................
f(x) = x2. What is g(x)?
A. g(x)=1/5x^2
B. g(x) = 5x^2
c. g(x) = 25x²
D. g(x) = (5x)2
i’m need of help right now please please please
Answer:
B. y = 5x²
Step-by-step explanation:
As you can see, g(x) is a proper parabola, so it must be some variation of y = x².
Because the vertex of the parabola remains at (0, 0), know that there is no translation, so all we need to account for is the scale.
In the graph we can see that where x is equal to 1, y is equal to 5. On a normal parabola that would instead be (1, 1), so we know that the y axis is scaled by a factor of five. With that we can say that y = 5x².
Ryan received $7 more than Ben every week.
Both of them saved $50 per week and spent the rest.
When Ryan had spent $56, Ben had only spent $28.
How much money did Ben receive every week?
For a particular 5 hours journey, Alex travelled at an average speed of (2x + 5) km/h for
the first 2 hours. He then travelled at an average speed of (3x - 5) km/h for the last 3
hours to complete his journey.
(a) Write down an expression, in terms of x, to represent the distance travelled by
Alex in the first 2 hours of his journey
Answer:
4x + 10
Step-by-step explanation:
Given
Let
[tex]t = time[/tex]
[tex]s = speed[/tex]
So:
[tex]t = 2; s = (2x +5)[/tex] --- first 2 hours
[tex]t = 3; s = (3x -5)[/tex] --- last 3 hours
Required
Distance covered in the first 2 hours
Distance (d) is calculated as:
[tex]Distance = speed * time[/tex]
i.e.
[tex]d = s * t[/tex]
For the first 2 hours, we have:
[tex]t = 2; s = (2x +5)[/tex]
So:
[tex]d = (2x + 5) * 2[/tex]
Open bracket
[tex]d =2x * 2 + 5 * 2[/tex]
[tex]d =4x + 10[/tex]
Hence, the distance covered in 4x + 10
Find the absolute value
|-7|
Answer:
7
Step-by-step explanation:
hello :
|-7| = - (-7) = 7
Answer:
the absolute value of l-7l is 7
hope it helps.
17/3 divided by 2/3 help please!:))
Answer:
0.94444444444
2x + 2 y = -2
3x - 2y = 12
Answer:
x=2 and y=-6 aka. (2,-6) which is the point of intersection
Step-by-step explanation:
Use elimination to cancel out y by adding the equations:
5x=10
x=2
Plug x=2 into one of the equations and find y:
2(5)+2y=-2
10+2y=-2
2y=-12
y=-6
Therefore, x=2 and y=-6
If Clarie bikes at an average speed of 7
miles per hour, how many hours will
it take her to ride 28 miles?
А
28 hours
B
4 hours
9 hours
D
14 hours
An ice cream shop sold 56 vanilla milkshakes in a day, which was 25% of the total number of milkshakes sold that day. what was the total number of milkshakes that the ice cream shop sold that day?
Answer:
224
Step-by-step explanation:
Need help ASAP it’s due tonight and I don’t understand
Answer:
13 of August,
Step-by-step explanation:
All of them worked together at day number zero (August 1).
We know that Elvis works every 3rd day
So he will work at:
day 3, day 6, day 9, etc.
We know that Izzy works every 4th day, then she will work at:
day 4, day 8, day 12, etc.
We know that Janaisa works every 6th day, so she will work at:
day 6, day 12, etc.
We just need to find a day where the 3 of them work, this is equivalent to finding a common multiple of the numbers: 3, 4 and 6.
To do it, we can just write the multiples of each one of these numbers and see which one is the first common multiple:
3)
3*1 = 3
3*2 = 6
3*3 = 9
3*4 = 12
3*5 = 15
...
4)
4*1 = 4
4*2 = 8
4*3 = 12
4*4 = 16
...
6)
6*1 = 6
6*2 = 12
So we can see that 12 is a common multiple of the 3 numbers.
Then they will work together 12 days after August 1th.
That would be the 13 of August,
Help please!!
Two cars are traveling on the same road. The number of miles car A travels in x hours can be represented by the equation y = 46x. The graph below describes the motion of car B.
Which car is traveling the fastest? Explain.
A. Car B is Traveling the fastest. car B is traveling 4 miles faster than car A.
B. Cardi B is traveling the fastest. Car B is traveling 10 miles per hour faster than car A.
C. Car A Is traveling the fastest. Car is traveling 4 miles per hour faster than car B.
D. Car A is traveling the fastest. Car A is traveling 10 miles per hour faster than car B.
please help me asap !!!!!!
Answer:
D
Step-by-step explanation:
Pretty sure its D
Solve the following equation by elimination method
2x + y = 25
3x – 2y = 20
Answer:
First multiply the first equation by 2
2(2x + y = 25)
You'll have
4x + 2y = 50
Rewrite both equations
4x + 2y = 50
3x - 2y= 20
Add from the first equation you'll get
7x = 70... X = 10
Substitute x in one of the equations:
3(10) - 2y = 20
30 - 2y = 20
-2y = -10
y = 5
Use the following dot plot to answer the questions.
What is the mean of the set?
If an additional dot is added to the set in the 3 column, how will the mean change? What will the new mean be?
Answer:
3.4
Decrease ; 3.375
Step-by-step explanation:
Mean = Σfx / Σf
Σfx = (1 * 2) + (2 * 2) + (3 * 3) + (4 * 9) = 51
Σf = 1 + 2 + 3 + 9 = 15
Mean = 51 / 15 = 3.4
If 1 more dot is added to the 3rd column:
Σfx = (1 * 2) + (2 * 2) + (3 * 4) + (4 * 9) = 54
Σf = 1 + 2 + 4 + 9 = 16
Mean = 54 / 16 = 3.375
NEED 22-24 AND 31-33 FAST
Answer:
22-24= -2
31-33= -2
Step-by-step explanation: