Answer:
The amount is $8358.7 and the interest is $3858.7.
Step-by-step explination
STEP 1: To find amount we use formula:
A = P
1 +
r
n
n·t
A = total amount P = principal or amount of money deposited, r = annual interest rate n
= number of times compounded per year t = time in years In this example we have
P = $4500 , r = 7% , n = 2 and t = 9 years
After plugging the given information we have
A = 4500
1 +
0.07
2
2·9
A = 4500 · 1.03518
A = 4500 · 1.857489
A = 8358.7
STEP 2: To find interest we use formula A = P + I, since A = $8358.7 and P = $4500 we
have:
A = P + I
8358.7 = 4500 + I
I = 8358.7 − 4500
I = 3858.7
The person must leave the money in the bank for 11.8 years so that it reaches the value of 1600 dollars.
What is compound interest?Compound interest is the addition of interest on the interest of the principal amount. It is given by the formula,
[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]
where A is the final amount,
P is the principal amount,
r is the rate of interest,
n is the period after which the amount is compounded, and
t is the number of years after which the amount is compounded.
We know the formula of compound Interest, also it is given that the person invests $1,000(P) at an interest rate of 4%(r) compounded quarterly. Therefore, the formula can be written as,
[tex]A = P(1+\dfrac{r}{n})^{nt}[/tex]
Since the amount is compounded quarterly, therefore, the value of n is 4.
[tex]1600 = 1000(1+\dfrac{0.04}{4})^{4t}\\\\1.6 = (1+0.01)^{4t}\\\\1.6 = 1.01^{4t}\\\\\rm log_{1.01}1.6 = 4t\\\\47.235 =4t\\\\t = 11.8[/tex]
Hence, the person must leave the money in the bank for 11.8 years so that it reaches the value of 1600 dollars.
Learn more about Compound Interest:
https://brainly.com/question/25857212
Write an equation for when k= 1/6
Answer:
2/6 - 1/6 = k
Step-by-step explanation:
A rectangular piece of plastic is 5 millimeters tall and 10 millimeters wide. What is its area?
Suppose a city with population 300,000 has been growing at a rate of 2% per year. If this rate continues, find the population of this city in 20 years
I need help solving this
Answer:
the answer is 445,784
Step-by-step explanation:
The population y after x years of growth with the growth rate r and the original population C can be found using the exponential growth formula, . Substitute the decimal equivalent for the percent growth rate per year for r.
PLEASE HELP ME WITH THIS FOR BRAINLIEST AND A COOKIE
Answer:
12
Step-by-step explanation:
Answer: the answer is 12
Step-by-step explanation: im just here for the cookie
What is the slope of the line that passes through the points (1, -4) and (3, 4)?
A. 1/4
B. 5/7
C. 4
D. -1/4
9514 1404 393
Answer:
C. 4
Step-by-step explanation:
The slope formula is helpful:
m = (y2 -y1)/(x2 -x1)
m = (4 -(-4))/(3 -1) = 8/2 = 4
The slope of the line is 4.
James, Priya and slobhan work in a grocery store. James makes $7.00 per hour. Priya makes 20% more than James, and slobhan makes 15% less than Priya. How much does Slobhan make per hour?
he makes $_______ per hour.
is 7.20 correct?
Convert the equation `5x+2y=-8`into slope-intercept form.
Answer:
y= -2.5x-4
Step-by-step explanation:
we have to isolate our y
subtract 5x from 5x+2y=-8 and move it to the right side
2y= -5x-8
divide everything by 2
y=-2.5x-4
I hope this helped you :)
whats the slope help pls!
[tex]\frac{n}6=\frac{15}{18} what does n equal?[/tex]
Answer:
n = 5
Step-by-step explanation:
Given
[tex]\frac{n}{6}[/tex] = [tex]\frac{15}{18}[/tex] ( cross- multiply )
18n = 90 ( divide both sides by 18 )
n = 5
9. Carson draws a scale drawing of a city park and a parking lot. The city 10 points park is in the shape of aright triangle with legs that are 3 inches and 4 inches. The parking lot is in a shape of a rectangle with dimensions of 1.5 inches and 2.5 inches. The scale for the drawing is 1 inch = 40 feet. What are the TWO actual areas for the shapes that are represented?
Answer:
The answer is below
Step-by-step explanation:
The scale for the drawing is 1 inch = 40 feet.
The right angled triangle has legs of 3 inches and 4 inches. Using the scale, the length of the legs is:
3 inches = 3 inch * 40 feet / inch = 120 feet and 40 inches = 4 inch * 40 feet / inch = 160 feet.
The area of a right angled triangle is half the product of the two legs. Hence:
Area of right angled triangle = 1/2 * 120 feet * 160 feet = 9600 ft²
The rectangle with dimensions of 1.5 inches and 2.5 inches. Using the scale, the length of the sides is:
1.5 inches = 1.5 inch * 40 feet / inch = 60 feet and 2.5 inches = 2.5 inch * 40 feet / inch = 90 feet.
The area of a rectangle is the product of the two sides. Hence:
Area of rectangle = 60 feet * 90 feet = 5400 ft²
Philip is having a party and wants to spend less than $408. He has already spent $300. The only item left on his list is sodas, which
cost $12 per case. How many cases of soda, x, can Philip purchase and stay under his budget?
Select the number line that includes the largest number of cases of soda that Philip can purchase and still stay under his budget.
ОА
Answer:
exactly 9 cases of soda
Step-by-step explanation:
408 - 300 = 108
12 x 9 = 108
so he would spend exactly 408$
I hope I helped!!!
Miguel read 1 page on Friday, 3 pages on Saturday, 9 pages on Sunday, and 27 pages on Monday. If this pattern continues, how many pages will Miguel read on Tuesday?
Answer:
81
Step-by-step explanation:
Miguel is reading 3x the pages everyday. 1x3=3 3x3=9 9x3=27 27x3=81
Which expressions are equivalent?
Answer:
The third one I believe.
Step-by-step explanation:
5= 3j + 2
can somebody help me?
Answer:
j=1
Step-by-step explanation:
5=3j+2
3j=3
j=1
Find the equation of a line that contains the points (4,−1) and (−1,−4). Write the equation in slope-intercept form, using fractions when required.
Answer:
y = 3/5x - 17/5
Step-by-step explanation:
slope formula: (y₂ - y₁) / (x₂ - x₁)
First, plug in these values of the two given points.
(-4 - (-1)) / (-1 - 4)
Simplify within the parentheses.
(-4 + 1) / (-1 - 4)
(-3) / (-5)
3/5
This is your slope. Plug this into a standard slope-intercept equation: y = mx + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, -4). Plug in the x and y values into the x and y of the standard equation.
-4 = 3/5(-1) + b
Multiply.
-4 = -3/5 + b
Add 3/5 to both sides. -- To add it easier, convert 4 to a have a denominator of 5.
-20/5 = -3/5 + b
-20/5 + 3/5 = b
-17/5 = b
Now, plug this into your standard equation.
y = 3/5x - 17/5
Check this equation by plugging in the other point you did not use (4, -1)
-1 = 3/5(4) - 17/5
-1 = 12/5 - 17/5
-1 = -5/5
-1 = -1
Your answer is correct!
Hope this helps!
2x-1-(-x+3) = 6-2x SHOW STEPS....DUE TODAY
Answer:
x=2
Step-by-step explanation:
Simplify both sides of the equation.
2x−1−(−x + 3)=6−2x
(Distribute the Negative Sign)
2x−1 + −1(−x + 3)=6−2x
2x + −1 + −1(−x) + (−1)(3)=6−2x
2x + −1 + x + −3=6−2x
2x + −1 + x + −3=6 + −2x
(Combine Like Terms)
(2x + x) + (−1 + −3)=−2x+6
3x + −4=−2x + 6
3x−4=−2x + 6
Add 2x to both sides.
3x−4 + 2x=−2x + 6 + 2x
5x−4=6
Add 4 to both sides.
5x−4 + 4=6 + 4
5x=10
Divide both sides by 5.
5x/5=10/5
x=2
I will give Brainliest To whoever answers plus 10 points
1+1
Write a Linear Equation in
Point-Slope Form.
m = -5
(-3, – 7)
==================================
Work Shown:
m = -5 is the slope
(x1,y1) = (-3,-7) is the point the line goes through
Plug this into the point slope form below and simplify.
y - y1 = m(x - x1)
y - (-7) = -5(x - (-3))
y + 7 = -5(x + 3)
Side note: If we solved for y, we'd get y = -5x - 22 showing that -22 is the y intercept.
help pleAsee zknsmfm
Answer:
C
Step-by-step explanation:
(x+2) * x
X^2 +2x
What is the value of -34+ (-4+ 7)(2)? 28 3 15
Answer:
3/4 * 5/7 = 15/
28
≅ 0.5357143
Answer:
-28
Step-by-step explanation:
Your welcome!
HELP PLEASE .... If the geometric mean between 3 and x is 6, find the value of x.
Answer:
12
Step-by-step explanation:
1. 3/6 = 6/x
2. Cross multiply: 3x=36
3. x=12
What happens during photosynthesis?
a) carbohydrates are released into bloodstream
b) carbon dioxide is released into air
c) an organism captures energy in sunlight and uses to make its own food
d) glucose is broken down releasing energy
Answer:
C During the process of photosynthesis, cells use carbon dioxide and energy from the Sun to make sugar molecules and oxygen. ... Then, via respiration processes, cells use oxygen and glucose to synthesize energy-rich carrier molecules, such as ATP, and carbon dioxide is produced as a waste product
Step-by-step explanation:
hope this helps have a good night :) ❤
$745 is deposited into an account that earns 4% simple interest for 8 years.
How much interest is earned in 1 year?
9514 1404 393
Answer:
$29.80
Step-by-step explanation:
The interest earned in 1 year is ...
I = Prt
I = $745·0.04·1 = $29.80
$29.80 interest is earned in 1 year.
A cafe charges $4 for a drink and $5 for a meal. They made $200 in a day when they sold 42 items. How many of each item did they sell?
Answer:
it would be 4 x25 and 5 x20
22+n=−12
pls help me im kinda confused
Answer:
-34
Step-by-step explanation:
22+n=-12
n=-12-22
n=-34
When you bring a positive constant to the other side of the equal sign it goes negative and vise versa. Then you combine like terms.
Please follow me!!!! Hope this helps!!! Have a wonderful day :)
Plz help I’m confused
Geometry 15 points
Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the three given statements.
If an elephant weighs more than 2000 pounds, then it weighs more than Jill's car.
If something weighs more than Jill's car, then it is too heavy for the bridge.
Smiley the elephant weighs 2150 pounds.
least common denominator of 1/5 and 1/10
Step-by-step explanation:
dhdnjdbdjfdnjdnednrjfjfr
Which of the following is a decomposition reaction?
reactant plus reactant yields product
reaciant minus reactant yields product
reactant yields product plus product reactant yields product times product
Answer:
Reactant plus reactant yields product.
Step-by-step explanation:
A decomposition reaction starts from a single substance and produces more than one substance. One substance as a reactant and more than one substance as the products is the key characteristic of a decomposition reaction.
Hope this helps.
Please help me with this question. Thank you :)
If each 2 cm on the scale drawing equals 10 feet, what are the actual dimensions of the room? (5 points) Length = 11 feet, width = 9 feet Length = 30 feet, width = 20 feet Length = 8 feet, width = 12 feet Length = 22 feet, width = 20 feet
Answer:
c and i blue
Step-by-step explanation: