Marcus will receive $5,193.82 when he redeems the CD at the end of the 11 years.
What is compound interest?Compound interest is computed as interest on the principle of an account plus any accrued interest.
Compound interest can be calculated using the following formula:
A=P(1+r/n[tex])^{nt}[/tex]
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Marcus receives an inheritance of $3,000.
He decides to invest this money in an 11 -year certificate of deposit (CD) that pays 5.0 % interest compounded monthly.
P = $3,000
r =5%
t = 11 years
A=P(1+r/n[tex])^{nt}[/tex]
Substitute the values of P, r and t in the formula,
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A=P(1+r/n[tex])^{nt}[/tex]
A = 3,000.00(1 + 0.05/12[tex])^{(12)(11)}[/tex]
A = 3,000.00(1 + 0.0041666666666667[tex])^{132}[/tex]
A = $5,193.82
Therefore, Marcus will receive $5,193.82.
To learn more about the compound interest rate;
brainly.com/question/13307568
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What is the mode of the following numbers?
3,7, 5, 2, 5, 5, 2,5
The mode is 5.ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
The mode is 5, hope this helps!
How to find coordinates of a point using ratio
m1=3, m2= 1
point A= (-5,4)
point B=(7,-2)
x=m1x2+m2x1/ m1+m2 , y=m1y2+m2y1 / m1+m2
x= 3×7 +1×-5/3+1 , y= 3×-2+1×4 / 3+1
x= 21-5/4, y= -6+4/4
x= 16/4, y= -2/4
x= 4, y= 0.5
Can someone help explain this to me?
Step-by-step explanation:
A. y-5=-4x+4
y=-4x+4+5
y= -4x +9
(0,9)(9/4,0)
Choose the correct simplification of the expression (a^2 multiplied by b^5)^3
A^6/b^15
A^5/b^8
A/b^15
A^6/b^11
Answer:
1
Step-by-step explanation:
the first one because if you take the expression that you want, and expanding it out, you will get the first one.
Answer:
A
Step-by-step explanation:
(a^2)^3 (b^5)^3
The powers multiply when written like this. They don't add.
a^6 b^15
A
Ryan's take-home pay is $2,500 each month. The amount for gas is $125. Calculate the percentage Ryan uses on gas from his take-home pay. please help!! O^O
Answer: 5%
Step-by-step explanation:
Since Ryan's take-home pay is $2,500 each month and the amount for gas is $125.
The percentage that Ryan uses on gas from his take-home pay will be:
= Amount used on gas / Take home pay × 100
= 125/2500 × 100
= 1/20 × 100
= 5%
He used 5% on gas.
In circle o,find the value of x, rounded to the nearest tenth.
Answer:
x = 6
Step-by-step explanation:
The line marked 16 is a chord.The line marked 20 is a diameter.1/2 the diameter is a radius.The radius = 1/2 20 = 10The value x meets 16 at it's midpointIt is given to be 90 degrees.The part of the radius meets the chord at its midpoint.The meeting point to the circumference is 8 units.The Pythagorean Theorem applies.10^2 = 8^2 + x^2100 = 64 + x^2100 - 64 = x^236 = x^2x = 61) a) What are perpendicular lines and parallel lines
Answer:
the property of being perpendicular is the relationship between two lines which meet at a right angle.
parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel.
PLZ PLZ HELP, 1 QUESTION, WILL GIVE BRAINIEST PLZ ANSWER QUICK! LOTS OF POINTS! DON'T ANSWER IF UR NOT SURE THANK YOU SO MUCH!
Answer:
I believe the answer is 52.
Step-by-step explanation:
I used the shape given to find the surface area because nets are not fun and my brain likes shapes better.
Please help! Tysm if you do!
Answer:
A
Step-by-step explanation:
We can solve this problem by eliminating wrong answers
It can be b because there is no 3
It can be c because the equation would be 4+3
And it can be d because the equation would be 3x+4
so it must be a
Answer:
option A is correct
as additional page costs is not fixed so there will be any value of x with multiply by 4
and the fixed remain only one time so it remains fixed and 3 is also fixed.
Can someone help with this plz Its brining down my grade
- Sketch the solution to each system of inequalities.
Help!
Please type step by step!
Answer:
llllllllllllllllllllll
Step-by-step explanation:
hope this helps u....
Find and interpret the standard deviation of the set of data. 7. {6, 8, 2, 3, 2, 9}
Answer:
3.1
Step-by-step explanation:
A. (-5,-)
B. (-2,-4)
C. (1.-6)
D. (-5.-5)
Please help me. No links are allowed. This is really urgent find the volume of the irregular figure.
Ariel is making bracelets. She bought a 15% foot long string, and a 1243 foot long string. If each
bracelet requires 42 of a foot of string, how many bracelets can Ariel make?
Answer:
She can make 55 bracelets
Step-by-step explanation:
We have the correct question as follows;
Ariel bought a 15 1/6 foot long string, and a 12 1/3 foot long string. If each bracelet requires 1/2 of a foot long string, how many bracelets can Ariel make
we have the solution as follows
Firstly, we need to find the total length of the strings bought
We can get this by adding what was bought
That would be;
15 1/6 + 12 1/3
= 91/6 + 37/3
= (91 + 74)/6 = 27 1/2 ft
From the question, each bracelet requires 1/2 ft long
so the number of 1/2 ft long bracelets we can find will be;
27 1/2 divided by 1/2
= 55/2 * 2/1
= 55
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
5/8
What is the equivalent decimal?
Answer:
0.625 62.5%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Dividing 5 by 8 on a calculator results in the "equivalent decimal:"
5/8 = 0.625
0.625 converts to 62.5%: a percent
5/8 is a proper fraction
first part to last question
Answer:
For question 4 you would have 1560000. For question 5 you would have 660000
Step-by-step explanation:
Determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve. 6x^2-x-2=0
Given:
The quadratic equation is:
[tex]6x^2-x-2=0[/tex]
To find:
The nature of the solutions by using the discriminant.
Solution:
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then its discriminant is:
[tex]D=b^2-4ac[/tex]
If D<0, then both roots are complex.
If D=0, then both roots are real and equal.
If D>0, then both roots are real and distinct.
We have,
[tex]6x^2-x-2=0[/tex]
Here, [tex]a=6,b=-1,c=-2[/tex]. So, the value of the discriminant is:
[tex]D=(-1)^2-4(6)(-2)[/tex]
[tex]D=1+48[/tex]
[tex]D=49[/tex]
Since [tex]D>0[/tex], then both roots are real and distinct.
Hence, the discriminant of the given quadratic equation is 49 and both roots are real and distinct.
What is i^34?
A. -1
B. -i
C. 1
D. 1
Answer:
A.-1 all you had to do was look up the answer
Step-by-step explanation:
HELP PLS MY CLASS IS ALMOST STARTING
MARKED AS BRAINLIEST:)
Answer:
49/5
Step-by-step explanation:
x+x+x+x+x+30=79
5x+30=79
5x=49
x=49/5
Alec drew a scale drawing of an arcade. The scale of the drawing was 8 inches : 3 feet. If the actual length of an air hockey table is 9 feet, how long is the air hockey table in the drawing?
Answer:
[tex]24 = x[/tex]
Step-by-step explanation:
Write a proportion. Remeber that same units corresponds with each other.
[tex] \frac{8}{3} = \frac{x}{9} [/tex]
Cross multiply
[tex]72 = 3x[/tex]
[tex]24 = x[/tex]
In how many ways can 10 horses be arranged in a merry-go-round?
Answer:
120 possible combinations
Step-by-step explanation:
sets:
{1,2,3} {1,2,4} {1,2,5} {1,2,6} {1,2,7} {1,2,8} {1,2,9} {1,2,10} {1,3,4} {1,3,5} {1,3,6} {1,3,7} {1,3,8} {1,3,9} {1,3,10} {1,4,5} {1,4,6} {1,4,7} {1,4,8} {1,4,9} {1,4,10} {1,5,6} {1,5,7} {1,5,8} {1,5,9} {1,5,10} {1,6,7} {1,6,8} {1,6,9} {1,6,10} {1,7,8} {1,7,9} {1,7,10} {1,8,9} {1,8,10} {1,9,10} {2,3,4} {2,3,5} {2,3,6} {2,3,7} {2,3,8} {2,3,9} {2,3,10} {2,4,5} {2,4,6} {2,4,7} {2,4,8} {2,4,9} {2,4,10} {2,5,6} {2,5,7} {2,5,8} {2,5,9} {2,5,10} {2,6,7} {2,6,8} {2,6,9} {2,6,10} {2,7,8} {2,7,9} {2,7,10} {2,8,9} {2,8,10} {2,9,10} {3,4,5} {3,4,6} {3,4,7} {3,4,8} {3,4,9} {3,4,10} {3,5,6} {3,5,7} {3,5,8} {3,5,9} {3,5,10} {3,6,7} {3,6,8} {3,6,9} {3,6,10} {3,7,8} {3,7,9} {3,7,10} {3,8,9} {3,8,10} {3,9,10} {4,5,6} {4,5,7} {4,5,8} {4,5,9} {4,5,10} {4,6,7} {4,6,8} {4,6,9} {4,6,10} {4,7,8} {4,7,9} {4,7,10} {4,8,9} {4,8,10} {4,9,10} {5,6,7} {5,6,8} {5,6,9} {5,6,10} {5,7,8} {5,7,9} {5,7,10} {5,8,9} {5,8,10} {5,9,10} {6,7,8} {6,7,9} {6,7,10} {6,8,9} {6,8,10} {6,9,10} {7,8,9} {7,8,10} {7,9,10} {8,9,10}
The diameter of a golf ball is approximately 2 inches. What is its volume?
Round your answer to the nearest whole number.
O A. 4in3
O B. 8 in3
O c. 33 in3
O D. 18 in3
Answer:
4in^3
Step-by-step explanation:
Figure A to figure B?
Is that right?
Answer:
d
Step-by-step explanation: cause thats the only answer that will maked sense
To find the roots of the quadratic equation 3x²- 2x+1=0 using the quadratic formula
Answer: This is what i got x=1+i √2/3 not sure if that is what you need but hope it helps
Step-by-step explanation:
Answer:
[tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]
Step-by-step explanation:
Hello!
The quadratic formula is: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], derive from the standard form of a quadratic: [tex]ax^2 + bx + c[/tex].
The expression 3x² - 2x + 1 is a lot like our standard form:
a = 3b = -2c = 1Let's plug in the values and solve.
Solve the Quadratic Formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(2)(1)}}{2(3)}[/tex][tex]x = \frac{2 \pm\sqrt{4 - 8}}{6}[/tex][tex]x = \frac{2 \pm \sqrt{-4}}{6}[/tex][tex]x = \frac{2 \pm 2\sqrt{-1}}{6}[/tex][tex]x = \frac{ 1 \pm 1\sqrt{-1}}{3}[/tex]The roots are [tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]
Learn more about the derivation of the quadratic formula here:
https://brainly.com/question/11630991
(PLEASE HELP)
Which of these lengths CANNOT represent the sides of a triangle?
A.32,34,60
B.13,20,27
C.28,30,58
D.2,4,5
Answer:
2,4,5 doesn't form a triangle
• A number is 10.678 more than 8.76. What is the number?
63 > -73
I need help plssss
Answer:
that statement is true
is this the answer you are looking for?
Answer:
True
Step-by-step explanation:
We can rewrite the expression 16+8 as 8 x (2+1). Notice that 8 is the greatest factor of 16 and 8. Use this same method to rewrite the expression 24+36 as the product of the greatest common factor of 24 and 36 and the sum of the remaining numbers. 24 + 36 = ____________
Answer:
60
Step-by-step explanation:
24+36=60
Answer:
60
Step-by-step explanation:
24+36=60
