Answers
Answer:
[tex]P = \boxed{\sf 4000}[/tex]
[tex]r=\boxed{\sf 0.03}[/tex]
[tex]n=\boxed{\sf 4}[/tex]
[tex]t=\boxed{\sf 5}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
If you invest $4,000 then the principal amount is $4,000. As P represents the principal amount:
[tex]\implies P = \boxed{\sf 4000}[/tex]
The interest is 3%. 3% = 3/100 = 0.03. Therefore:
[tex]\implies r=\boxed{\sf 0.03}[/tex]
"n" represents the number of times interest is applied per year.
Therefore, if the interest is applied quarterly then:
[tex]\implies n=\boxed{\sf 4}[/tex]
"t" represents the time in years. Therefore, if you plan to leave the money in the account for 5 years then:
[tex]\implies t=\boxed{\sf 5}[/tex]
-----------------------------------------------------------------------------------------
To calculate the amount in the account after 5 years, substitute the values into the formula and solve for A:
[tex]\implies A=4000\left(1+\dfrac{0.03}{4}\right)^{4 \times 5}[/tex]
[tex]\implies A=4000\left(1+0.0075\right)^{20}[/tex]
[tex]\implies A=4000\left(1.0075\right)^{20}[/tex]
[tex]\implies A=4000(1.16118414...)[/tex]
[tex]\implies A=\$4644.74[/tex]
Related Questions
The length of a rectangle is 5 centimeters less than twice its width. Its area is 63 square centimeters.
Find the dimensions of rectangle
Answers
Answer:
I think the Length is 5 cm and the width is 7 cm
Step-by-step explanation:
Find the median: 12, 5, 9, 18, 22, 25, 6, 15, 28, 14, 8, 24
Answers
Answer:
14.5
Step-by-step explanation:
Find a fraction with a demominator of 30 that is equivalent to 1/3
Answers
Answer:
10/30
Step-by-step explanation:
First, multiply the denominator by 10 to make 30.
Then, since we multiplied the denominator, we multiply the numerator. 1 x 10= 10
Therefore the answer is 10/30.
If 2 tacos and 3 drinks cost $14, and 3 tacos and 2 drinks cost $16, how much does a taco cost?
Answers
Answer:
1 taco is $4
Step-by-step explanation:
2t + 3d = 14 4t + 6d = 28
3t + 2d = 16 -9t -6d = -48
-5t = -20
t = 4
A tacos would cost $4.00.
Let the cost of tacos be T.Let the cost of drinks be D.Translating the word problem into an algebraic equation, we have;
[tex]2T \; + \; 3D = 14[/tex] ......equation 1
[tex]3T \; + \; 2D = 16[/tex] ......equation 2
To find how much a tacos cost, we would solve the above system of equations by using the substitution method.
From eqn 1, we would make D the subject of formula;
[tex]D = \frac {14 \; - 2T}{3}[/tex] .....equation 3
Substituting eqn 3 into eqn 2, we have;
[tex]3T \; + \; 2(\frac {14 \; - 2T}{3}) = 16\\\\3T \; + \; \frac {28 \; - 4T}{3} = 16\\\\[/tex]
Lowest common multiple (LCM) = 3
[tex]\frac {9T \; + \; 28 \;- \; 4T}{3} = 16\\\\\\[/tex]
Cross-multiplying, we have;
[tex]9T \; + \; 28 \;- \; 4T = 16 \; * \; 3\\\\5T \; + 28 = 48\\\\5T = 48 \; - 28\\\\5T = 20\\\\T = \frac{20}{5} \\[/tex]
Tacos, T = $4.00
Therefore, the cost of a tacos is $4.00.
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Are these ratios equivalent?
28 hot dogs to 50 hamburgers
15 hot dogs to 30 hamburgers
Answers
Answer:
Step-by-step explanation:
28 : 50 and 15 : 30
14 : 25 and 1 : 2 are not equivalent
The library has allotted $480 for spring landscaping and has decided
to spend the money on flowering bushes. There is room to plant a total
of 36 bushes. Rose bushes cost $25 each and lavender bushes cost $5
each.
a. (2 PTS) Define your variables.
b. (3 PTS) Write an equation to represent the total number of bushes you
can purchase.
c. (3 PTS) Write an equation to represent the total cost of the bushes.
d. (3 PTS) How many of each type of bush should you purchase?
Answers
Answer:
a. x = roses
y= lavender
b. x + y=36
c. 25x + 5y = 480
d. 19 rose bushes and 1 lavender bush
Please give me the correct answer.Only answer if you're very good at math.Please use the Pythagorean Theorem formula which is a^2 + b^2 = c^2.
Answers
Answer:
c = 8.7 inches
Step-by-step explanation:
a^2 + b^2 = c^2
Substitute in the known values for a and b (the order doesn't matter):
(4.8)^2 + (7.3)^2 = c^2
multiply 4.8 times itself, 7.3 times itself:
23.04 + 53.29 = c^2
76.33 = c^2
Now find the square root of both sides of the equation (square root of c^2 = c):
8.736= c
It says round to the nearest tenth, so c = 8.7 inches
Can someone pls help me with this question
Answers
subtract and simplify 1/6m - (-5/8 m +1/3)
show full work
Answers
Answer:
11/24
Step-by-step explanation:
first we work out the bracket -5/8+1/3= -7/24. then 1/6 - -7/24 two negatives means you will add to get the answer
Two hockey teams, the Winnipeg Jets (yay!) and the Toronto Maple Leafs (boo!), miraculously make it to
the Stanley Cup finals. As soon as a team wins 3 games, the championship is over.
The schedule for the playoffs (for home games) is: Jets - Leafs - Jets - Leafs - Jets
If the Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is
a 45% chance they'll win.
Find the probability that the Jets win the Stanley Cup. Round answers to at least 4 decimal places.
Can anyone help me please. No links please
Answers
Answer: 58 .23
Step-by-step explanation:
Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is
a 45% chance they'll win.
evaluate the intergral2x(xsquared+3)exponent 4
Answers
Answer:
(x^2+3)^5/5 + C
Step-by-step explanation:
Here substitute u = x^2 + 3 , du/dx = 2x ---> dx= 1/2x du
Then: integral (u^4) du
Apply power rule: u^5/5
Then replace the substitution u=x^2+3 in u
= (x^2+3)^5/5 + C
Vladimir hit a home run at the ballpark. A computer tracked the ball's trajectory in feet and modeled its flight path as a
parabola with the equation, y = -0.003(x – 210)2 + 138. Use the equation to complete the statements describing the
path of the ball.
Answers
Answer:
The vertex of the parabola is
✔ (210, 138)
The highest the ball traveled was
✔ 138
feet.
Step-by-step explanation:
Edge 2022
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The highest the ball has travelled is 138 feet.
What is an equation of a parabola?A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.
y = a(x-h)² + k
where,
(h, k) are the coordinates of the vertex of the parabola in form (x, y);
a defines how narrower the parabola is, and the "-" or "+" that the parabola will open up or down.
A.) In the given quadratic equation, the vertex of the equation is y=-0.003(x-210)² + 138 is (210,138).
B.) Since the vertex is the highest point, therefore, The highest the ball has travelled is 138 feet.
The complete question is,
Vladimir hit a home run at the ballpark. A computer tracked the ball's trajectory in feet and modelled its flight path as a parabola with the equation, y = -0.003(x – 210)2 + 138. Use the equation to complete the statements describing the
path of the ball.
The vertex of the parabola is ?
The highest the ball travelled was? Feet
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A square patio has a side length of (x − 8) feet. It is surrounded by a flower garden with a uniform width. The side length of the entire square area including the patio and the flower garden is (x + 8) feet. Enter an expression for the area of the flower garden.
Answers
9514 1404 393
Answer:
32x ft²
Step-by-step explanation:
The area of the garden plus patio is ...
(x +8)² = x² +16x +64
The area of the patio is ...
(x -8)² = x² -16x +64
The area of the flower garden is the total area less the patio area:
(x² +16x +64) -(x² -16x +64) = 32x . . . area of the flower garden
Animals were trapped in a city and later released into the wild. A random sample of the data is provided in the table below.
Animal type Raccoon Skunk Fox
Number of animal 230 140 120
If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included? (3 points)
a
2,500
b
280
c
1,400
d
380
Answers
Answer:
c
1,400
Step-by-step explanation:
We take the sample proportion of skunks and estimate for the entire population.
Sample:
140 skunks out of 230 + 140 + 120 = 490 animals.
140/490 = 0.28571428571
If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included?
0.28571428571 out of 5000. So
0.28571428571*5000 = 1429
Close to 1400, which means that the answer is given by option C.
Gabby draws a line segment to connect points (2,1) and (7,4). She draws a second lien segment that is parallel to the first one by connecting the points at (2,3) and (7,6). If she wants to draw a third line segment parallel to the ones she has already drawn, what ordered pairs could she use?
Answers
9514 1404 393
Answer:
(2,5) and (7,8)
Step-by-step explanation:
Gabby has increased the y-coordinates by 2 units to get her first parallel line. She can do the same thing again to get the second parallel line.
(2, 3+2) = (2, 5)
(7, 6+2) = (7, 8)
Two groups of school children had their forearm lengths measured. Dot plots are provided showing these results.
a
Group Y. There were 6 children who had a forearm length that measured longer than 12 inches.
b
Group X. There were 4 children who had the lowest forearm length of 10 inches in this group.
c
Group X. None of the children in this group had a forearm length longer than 12 inches.
d
Group Y. One child in this group had the smallest forearm length of 10 inches.
Answers
Answer:
Stament a, b, and c are correct.
Statement d is INCORRECT.
Step-by-step explanation:
Based on the dot plots given, the following statements are true and correct:
✔️Statement A is correct
Rationale: in the dot plot representing group Y, there are 6 dots on number 13. These shows that 6 children have an arm length of 13 inches. This means that there are actually 6 children who had a forearm length that measured longer than 12 inches.
✔️Statement b is correct:
Rationale: the lowest forearm length displayed on the dot plot for group X is 10 inches, represented by 4 dots.
✔️Statement c is correct:
Rationale: the dot plot for group X shows that the maximum arm length recorded for group X was 12 inches. Therefore no child in group X has a forearm length that is longer than 12 inches.
❌Statement d is NOT CORRECT
Rationale: the dot plot for group Y shows that 2 children had the smallest forearm length of 11 inches.
A snowball has a diameter of 6 centimeters. How long would it take the snowball to melt if it melts at a rate of 1.8 cubic centimeters a minute.
Answers
FREE BRAINLIST NEED HELP ASAP
Answers
Answer:
The answer is C
Step-by-step explanation:
Trust me I made a graph to organize the numbers
Evaluate the expression: 12 x (3+2)² ÷ 2 -10
Answers
Answer:
140
Step-by-step explanation:
Here, we use BODMAS
12 x (3+2)² ÷ 2 - 10
12 x (5)² ÷ 2 - 10
12 x (5)² ÷ 2 - 10
12 × 25 ÷ 2 - 10
12 × 12.5 - 10
150 - 10 = 140
Thus, The answer is 140
-TheUnknownScientist
6 8ths -2 8ths thanks please explain to
Answers
Answer:
0.5 or [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
If you borrowed $646 at an interest rate of 5% for 6 years, how much interest will you pay? Round to the nearest tenth if necessary.
Answers
Answer:
P=646
R=5%
T=2yrs
I=?
I=PRT/100
I= 646*5*2/100
I= 64.6
Step-by-step explanation:
Answer:
the answer is 100
Step-by-step explanation:
646 X 5 IS 3000
3000/5 is 600
and then round tenth so its 10
600/10 is 60
60 + 40 = 100 and there you go bravo
Will give brainliest and 50 points to who ever gives me the answer and not a link
Find the surface area of the
triangular prism.
10 ft.
3 ft.
ft.
3 ft.
[?] sq ft.
Answers
Area = 1/2bh = 1/2 x 3 x 2 = 3
Now calculate the area of the rectangular surfaces
Area = lw = 3 x 10 = 30
Add 2 triangle and 3 rectangles
Total area = 3 + 3 + 30 + 30 + 30 = 96 sqft
Can someone help me pls
Answers
Answer:
Oops, didn't mean to answer because I already answered this one.
Step-by-step explanation:
4x+15 what is the value of X
Answers
Answer:
No solution
Step-by-step explanation:
4x+15 doesn't equal anything so it's impossible to solve.
Unless you forgot to add what it equals I can't solve it for you :(
Help please will mark brainliest
Answers
Answer:
SA = 638 mi²Steps:
SA = 2L² + 4(LH)
SA = 2×11² + 4(11×9)
SA = 2×121 + 4×99
SA = 242 + 396
SA = 638 mi²
Pls help,
Type the answers and leave each part as abcd so I don’t type it in wrong
I WILL MARK BRANLIST IF U GIVE ME AN ACTAUL ANSWER
Answers
Answer:
a
If they are vertical angles, they are equal.
5x - 24 = 3x + 24 Add 24 to both sides
5x -24 +24 = 3x + 24 + 24 Combine
5x = 3x + 48 Subtract 3x
5x - 3x = 3x-3x + 48 Combine
2x = 48 Divide by 2
x = 24
<A =5*24 - 24
<A = 96
Step-by-step explanation:
Accountants often use the median when studying salaries for various businesses. What is the median of the following salary list: $32,019; $21,971; $27,596; $43,715, $38,850, $25,963?
Answers
Answer
40.5
Step-by-step explanation
Sheldon spent $42 on cookies. If each box cost $6, which equation will tell you how many boxes of cookies Sheldon bought?
Answers
Answer:
42 multpliy by 6
Step-by-step explanation:
Sheldon bought 7 boxes of cookies if he spent $42 on cookies.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Cost of one box of cookies = $6.
And total amount spent by Sheldon on cookies = $42.
Let Sheldon bough x boxes of cookies.
To find the number of boxes of cookies x,
Use ratio property,
Cost of one box of cookies = $6
Cost of x boxes of cookies = $6x
Total price = 42
6x = 42
x = 7
The required number of boxes of cookies is 7.
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Need help ASAP giving away 15 points will mark brainlyist as well
Answers
Answer:
1. < 11
2. < 5
3. < 1
4. x=38
5. x=25
6. x=6
7. x=18
8. x=52
9. x=15
10. x=12
Step-by-step explanation:
1. Vertical Angles
2. complementary angles= 90
3. vertical Angles
4. Supplementary Angles- 4x+28=180
5. vertical Angles :2x+5=55
6. Right Angle: 7x+8x=90
7. Supplementary Angles: 119+3x+7=180
8. vertical Angles: 3x=156
9. vertical angles: 8x-4=116
10. right angles: 3x+7+4x-1=90
What is y in this equation
Answers
Answer:
y = 88
Step-by-step explanation:
y + 53 + 39 = 180
y + 92 = 180
y = 88
Explanation/ none