$13,000 is deposited into a savings account with an annual interest rate of 3% compounded continuously. How much will be in the account after 5 years?
Round to the nearest cent.
$15,106.00
$15,103.85
$43,714.05
$66,979.54
Answer:
15,103.05
Step-by-step explanation:
Total amount in the saving account after 5 years in which the annual interest, compounded continuously, is $15,103.85.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{100n}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
$13,000 is deposited into a savings account with an annual interest rate of 3% compounded continuously.
The amount in account after 5 years can be calculated with the above formula as,
[tex]A=13000\times\left(1+\dfrac{3}{12\times100}\right)^{12\times5}\\A=15101.02[/tex]
The total amount in the saving account after 5 years in which the annual interest, compounded continuously, is $15,103..85.
Learn more about the compound interest here;
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509
х
Z
45°
529
In the figure, x=
and z=
Answer:
x = 95°
y = 147°
z = 128°
Step-by-step explanation:
∡x is the sum of 50 and 45, deducted from 180
∡y = 95 + 52, deducted from 180
∡z = 180 - 52
Which expression has a negative value?
−5⋅5⋅−5⋅−5⋅−5
−5⋅5⋅−5⋅−5
−5⋅−5⋅5
−5⋅−5
Answer: The answer would be B
Step-by-step explanation:
I had a test like this so I kinda know wut the answer is a few weeks or so ago but u need to multiply -5 • 5 (which would be negative since it has one negative sign) then multiply -5 • -5 (since it has another negative it’s positive) then u just multiply the answers that u got from the times 5 u did -bonus if it’s 1 negatives it’s a negative but if it’s 2 negatives it’s a positive
Answer:
The answer is B
Step-by-step explanation:
Can someone help me out with this one I will give 20 points
Answer:
8(4k-12)
Step-by-step explanation:
you can really only check and guess here and it happens to be the second choice 8(4k-12)
8(4k-12)
32k -96
how to graph 2x-3y=-6
Answer:
Step-by-step explanation:
What contributes to the movement of air masses?
Answer:
I think it’s air pressure differences
Step-by-step explanation:
Calculate the unit rate. Label your work properly. Show your fraction work.
Math question : eating 3/4 pizza in 5/6 hour
Answer:
(9/10) of a pizza per hour.
Step-by-step explanation:
(3/4)*4=3
(5/6)*4= 3hr 20 mins
[3 (1/3)] / [3 (1/3)]=1
3 / [3 (1/3)]= 0.9
write 2 equivalent ratios for each ratio below : 3/ 38[tex]\frac{3}{38\\}[/tex]
Answer:14
Step-by-step explanation:
Akigr sksjb82792?/ =x so that is ansewr
Indigo finds some dimes and quarters in her piggy bank. How much money in
dollars) does she have if she has 12 dimes and 5 quarters? How much money in
dollars) does she have if she has z dimes and y quarters?
Total value, 12 dimes and 5 quarters (dollars):
Total value, x dimes and y quarters (dollars):
Answer:
1) $2.45
2) $(0.25y + 0.1z)
Step-by-step explanation:
dimes are 0.10 in value, quarters are 0.25
1) How much money in dollars does she have if she has 12 dimes and 5 quarters? 12(0.1) + 5(0.25) = 1.2 + 1.25 = $2.45
2) How much money in dollars does she have if she has z dimes and y quarters?
z(0.10) + y(0.25)= 0.25y + 0.1z
I rearranged it because we put variables in alphabetical order.
LMK if you have questions.
a) The total value of 12 dimes and 5 quarters is $ 2.45
b) The total value of x dimes and y quarters is 0.10x + 0.25y
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the value of 1 dime = 10 cents
= $ 0.10
Let the value of 1 quarter = 25 cents
= $ 0.25
Now the equation will be
a)
The value of 12 dimes = 12 x value of 1 dime
= 12 x 0.1
= $ 1.2
The value of 5 quarters = 5 x value of 1 quarter
= 5 x 0.25
= $ 1.25
So , the value of 12 dimes and 5 quarters is =
value of 12 dimes + value of 5 quarters
The value of 12 dimes and 5 quarters is = $ 1.2 + $ 1.25
= $ 2.45
b)
The equation will be
The value of x dimes = 0.10x
The value of y quarters = 0.25y
So , the value of x dimes and y quarters is =
value of x dimes + value of y quarters
The value of x dimes and y quarters is = 0.10x + 0.25y
Hence , a) The total value of 12 dimes and 5 quarters is $ 2.45
b) The total value of x dimes and y quarters is 0.10x + 0.25y
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#SPJ2
Please help me out!!
Answer:
294cm²
Step-by-step explanation:
Given the formula for surface area expressed as 6L^2
TSA = 6L²
Given that L = 7cm
Substitute
TSA = 6(7)²
TSA = 6 * 49
TSA = 294cm²
Hence the total surface area is 294cm²
How many edges does the following shape have?
Answer:
It has 8 edges
Hope that helps!
An electronics store is having a 15% off sale. Suppose the sale price(p) of a laptop is $495. Which statement are true for this stuation
A. P+ 0.15p represents the sales price
B. P- 0.15p represent the sales price
C. 0.85p represents the sales price
D. The sale price is 420.75
E. The sale price is 569.25
Please just give me the answer choices by the letter and not a photo i will give 15 points
Answer:
B, C, and D are true. 0.15price is 15% subtracted, 0.85 is with 15% subtracted, 420.75 is the sale price calculated.
10/7-2/7 show work please
Answer:
10/7 - 2/7= 5 1/7
Step-by-step explanation:
it 5 1./7
What is choice answer
14.7= x/7 *
Can someone help me
Answer:
2.1
2.1 X 7=14.7
Step-by-step explanation:
5x-y=-6
y=-7x+6
find y and x and show work
Answer:
5x-y=-6.............1
y=-7x+6...........2
substituting value of y in equation 1
5x-(-7x+6)=-6
5x+7x-6=-6
12x=0
x=0/12=0
substituting value of x in equation 1
5×0-y=-6
y=6
What is the value of the expression (2^4)^2
Answer:
256
Step-by-step explanation:
calculator app
Please help! ASAP
A florist had 1,800 roses, tulips, and orchids in her shop. 55% of the flowers were
roses. After she sold some of the roses, the percent of the flowers that were
roses became 10%. How many roses were sold?
In ΔTUV, t = 560 inches, v = 400 inches and ∠V=19°. Find all possible values of ∠T, to the nearest degree
Answer:
27 and 153 degrees
Step-by-step explanation:
Delta math
Kade purchased 2 gallons of chocolate milk. Malia purchased 6 quarts of chocolate milk. Who has more chocolate milk? *
10 points
Answer: Malia has more
Step-by-step explanation:
6>2
Malia has 6 which is greater than Kade's 2
If Saanvi paid $20.80 for a large pizza from Round Table after using a 20% coupon, what was the original price of the pizza? Please help
Answer:
$24.96
Step-by-step explanation:
20% of 20.80 is 4.16.
20.80 + 4.16 is 24.96. Boom. Done.
GUYS DONT GO TO THIS LINK
https://www.adultpayperview.com/dispatcher/frontDoor?theaterId=7021&genreId=101&locale=en
Answer:
ok
Step-by-step explanation:
Answer:
alright thank you for the warning :)
Step-by-step explanation:
i need this right now not later not 2 days later now
Answer:
2x+90+x=180 linear pair
3x=180-90
x=90/3=30
Find the coordinates for B, C, and D. Note line 1 must be perpendicular to line 2.
Answer:
B = (-b, a)
C = (a, 0)
D = (-b, 0)
Step-by-step explanation:
Line 1(L₁) passes through the point O(0, 0) and A(a, b). Hence the equation of L₁ is:
[tex]y-y_1=\frac{y_2-y_}{x_2-x_1}(x-x_1) \\\\y-0=\frac{b-0}{a-0} (x-0)\\\\ay -bx=0[/tex]
Point C has the same x coordinate as point A. Since point C is on the origin line (y = 0 line), its y coordinate is 0.
The coordinate of C = (a, 0)
L₁ has a slope of b/a. Since L₂ is perpendicular to L₁, the product of their slope is -1. Hence slope of L₂ = -a/b
L₂ has a slope of -a/b and pass through the origin. The equation of L₂ is:
[tex]y-y_1=m(x-x_1)\\\\y-0=\frac{-a}{b}(x-0)\\\\y= \frac{-a}{b}x[/tex]
But OD = AC
AC = b
Hence OD = AC = b
The y coordinate of D is 0. Let its x coordinate be -x. Hence D = (-x, 0)
[tex]OD=\sqrt{(-x-0)^2+(0-0)^2} \\\\OD=x\\\\OD=x=b\\\\x=b;-x=-b[/tex]
The coordinate of D is (-b, 0)
B has the same x coordinate as D. The y coordinate of B is gotten by using L₂ equation and substituting x = -b
y = (-a/b)(-b)
y = a
Coordinate of B = (-b, a)
1/4 rotation counterclockwise
Answer:
I think 9? form 12 counterclockwise
Which fraction is less then 1/3 or 1/5
Answer:
1/12
Step-by-step explanation:
it is correct i know it is
Answer: 1/5 is
Step-by-step explanation:
1/5 = 0.2
1/3 = 0.333
Why is it important to know the suface area or the volume of a rectagular prism?
Answer:
Because you can know how much liquid could be held or how much items can be contained inside. the formulas can also help you with other shapes.
Step-by-step explanation:
Find the measure of 44.
131
49
49
64 = [?]
Answer:
49
Step-by-step explanation:
alternate angles hope this helps
WORTH 15 points! plz IM CRYING I NEED THIS DONE ASAP PLEASEEE
The lid will have a base area of 55 1/4 square inches. The long sides of the lid will each have an area of 17 square inches. The short sides of the lid will each have an area of 13 square inches. The total surface area of the lid will be 115 1/4 square inches.
So, for the base, you have w = 6.5 and l = 8.5. Area = 6.5 * 8.5 = 55.25 = 55 1/4.
For the long sides, you have l = 8.5 and h = 2. Area = 8.5 * 2 = 17
For the short sides, you have w = 6.5 and h = 2. Area = 6.5 * 2 = 13
For the total surface area, you have one base which is 55.25, you have two long sides which are 2 * 17 = 34, and you have two short sides which are 2 * 13 = 26. 55.25 + 34 + 26 = 115.25 = 115 1/4.
HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER
Answer: A
Step-by-step explanation:
I crossed out the answers as I went and I got the answer A.