The principal amount if the interest rate is 3.5% a year is equal to $3000.
Given the following data:
Interest rate = 3.5%Simple interest = $183.75Time = 21 monthsConversion:
12 months = 1 year
21 months = 1.75 year
To calculate the principal amount if the interest rate is 3.5% a year:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making P the subject of formula, we have:
[tex]P = \frac{100S.I}{RT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]P = \frac{100 \times 183.75}{3.5 \times 1.75}\\\\P = \frac{18375}{6.125}[/tex]
Principal amount, P = $3000
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A pollutant breaks down at a rate of 2% a year. What fraction of the current amount will be present in 20 years? Let X(0) = 1.
Answer:
Step-by-step explanation:
X = 1(1 - 0.02)ⁿ
X = 1(0.98)²⁰
X = 0.6676
67%
Using an exponential equation, it is found that 66.76% of the current amount will be present in 20 years.
A decaying exponential function has the following format:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(t) is the initial value.r is the decay rate, as a decimal.In this problem, breaks down at a rate of 2% a year, hence [tex]r = 0.02[/tex], and:
[tex]A(t) = A(0)(1 - 0.02)^t[/tex]
[tex]A(t) = A(0)(0.98)^t[/tex]
The fraction after 20 years is A(20), hence:
[tex]A(20) = A(0)(0.98)^{20}[/tex]
[tex]A(20) = 0.6676[/tex]
66.76% of the current amount will be present in 20 years.
A similar problem is given at https://brainly.com/question/14773454
Melissa is riding her bike . She rides for 3 hours at a speed of 4.8 kilometers per hour . How far does she ride ?
Answer:
14/4
Step-by-step explanation:
speed.time=distance
3x4.8=14.4
Determine the length of the model.
-60 ft-
1 in. = 8 ft
=
If the principal is $3,200.00 and the rate of interest is 8%, what is the final account balance after 3 years
Answer:
i think it would round to 4031.08
Step-by-step explanation:
3200.00 * 1.08^3
=4032.0784
Clayton Burrington purchased the following school supplies on s
$2.79 notebook for $1.99, a $1.49 ballpoint pen for $0.99, a $1.99 p
notebook paper for $0.99, and a $3.49 automatic pencil for $2.79.
Clayton estimated the total savings to be $7.00. (a) Is the answer
reasonable? (b) If not, what error was made?
Answer:
The answer is not reasonable.
The error that Clayton made was that he accidentally added all of the products that had a saved price tag on it, he did not find the difference between the old price and the new, sales price.
Step-by-step explanation:
Hope this helps :) Mark me brainliest if anyone else answers this question.
In fast will give brainly
= 1 × ⅔ × 5/3
= ⅔ × 5/3
= 10/9
= 1 1/9 ft³ (D.)
whats the answer can someone answer please
Answer:
b and c
Step-by-step explanation:
41/2≤1.2x what is the answer
Answer:
i can help just meassage me
Step-by-step explanation:
ok thak u
In the formula D = 1 ÷ f, if f is equal to -0.025, then D is equal to
Will someone PLEASSSSSSEEEEEEEE help me
Answer:
C
Step-by-step explanation:
i did the math she needs to wake up at 8:00
Find the product of 4v22 and 4v4 in simplest form. Also, determine whether the result is rational or irrational and explain your answer. Result: V The result is because it integers and its decimal expansion be written as the ratio of two terminate or repeat.
Answer:
32[tex]\sqrt{22}[/tex]
irrational
cannot be written as a ratio
does not repeat or terminate
Step-by-step explanation:
[tex]\sqrt{4}[/tex] = 2
4[tex]\sqrt{22}[/tex] · 4(2) = 4[tex]\sqrt{22}[/tex] · 8 = 32[tex]\sqrt{22}[/tex]
A rectangular field is ten times as long as it is wide. If the perimeter of the field is 1100 feet, what are the dimensions of the field?
Answer:
Length = 500, Width = 50
Step-by-step explanation:
EQUATION:
2(10x) + 2x = 1100
20x + 2x = 1100
22x = 1100
x=50
1. Two linear functions are shown below. Which function has the greater rate of change? Function A Function B 10 у y 4 32 8 8 6 44 12 4 56 2 16 68 Х 0 20 80 0 2 4 6
Answer:
I don't understand clear ur question
Can someone Please answer this question fast?
Answer:
It is impossible to convert in square form.
During a snowstorm, Noah tracked the amount of snow on the ground. When the
storm began, there was 1 inch of snow on the ground. For the first 4 hours of the
storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 2
hours and then started again at a constant rate of 2 inches per hour for the next 6
hours. Make a graph showing the inches of snow on the ground over time using the data that Noah created
data that Noah collected.
Click twice to plot a segment.
Click a segment to delete it.
25
24
23
22
ow on the Ground (Inches)
20
19
18
17
16
15
14
13
12
9
Answer:
ss the question
Step-by-step explanation:
What number is missing from the table of equivalent ratios
8 is missing for the table
I need help with my math
Answer:
x^7
Step-by-step explanation:
Answer:
(x)(x)(x) . (x)(x)(x)(x)
Step-by-step explanation:
That's the answer. Hope it helps:)
What is the polar form of -9-9i sq root 3
Answer:
The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.
The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.
The polar form of Complex NumbersThe polar form of a complex number is a different way to represent a complex number apart from the rectangular form. Usually, we represent the complex numbers, in the form of z = x+iy where 'i' is the imaginary number.
But in polar form, the complex numbers are represented as the combination of modulus and argument.
Learn more about complex numbers here: brainly.com/question/10662770
#SPJ2
Which of the following statements about resale price maintenance is correct? Resale price maintenance _______.
A. is considered by some economists to be efficient and by other economists to be inefficient
B. is also called horizontal price fixing
C. is legal under the Sherman Act
D. occurs when a manufacturer prints the price of its good directly on the packaging
Answer:
A. is considered by some economists to be efficient and by other economists to be inefficient
Step-by-step explanation:
Find a polynomial f (x) of degree 4 that has the following zeros.
6 (multiplicity 2), –1, 0
Leave your answer in factored form.
Step-by-step explanation:
The polynomial with given zero's is:
f(x) = a(x - 6)(x - 6)(x - (-1))(x - 0)Or simplified:
f(x) = ax(x + 1)(x - 6)², here a is the coefficient we don't knowJamie Lee needs to save a total of $9,000 in order to get started in her cupcake café venture. She is presently depositing $1,800 a year in a regular savings account. Calculate the future value of these deposits.
Answer: 16,200,000
Step-by-step explanation: divide both numbers
The future value of her deposit would be in 5 years.
The total amount needed to start a cupcake cafe venture
= $9,000
Deposit per year = $1,800
Therefore, if $1,800 = 1 year
$9,000 = X
[tex]x = \frac{9000}{1800} [/tex]
[tex]x = 5[/tex]
Therefore in 5 years, Jamie Lee would be able to start her cupcake café venture.
Learn more about savings here:
https://brainly.com/question/25787382
Gus, Verid and their three children went to see a show.,
The children were charged half-price. If the total cost of the tickets was $94.50, how
much did each adult ticket cost?
Answer:
28.35 each adult
Step-by-step explanation:
Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.
1. If she eats 2 servings of granola, how many calories does she eat?
calories
2. If she wants to eat 1050 calories of granola, how many servings should she eat
servings
3. Write an equation that will give us the number of calories (c) from the number of servings (s) eaten.
Answer:
1. 700 calories
2. 3 servings
3. c = 350s
Step-by-step explanation:
1. 5 servings = 1,750 calories
divide by 5 on both sides
1 serving = 350 calories
multiply both sides by 2
2 servings = 700 calories
2. 1 serving = 350 calories
1050 calories = 350 calories X 3
3 servings = 1,050 calories
3. 1 serving = 350 calories
# of calories = 350 per serving
c = 350s
Una chompa cuesta 112 bs ¿a como debo venderla para tener una ganancia de 15%?
Answer:
746
Step-by-step explanation:
112 dividir 15
Y por el resultado lo multiplicas x 100
y esas va ser tu respuesta
Someone, please help me with this. I will give Brainliest
Explanation:
What we need to do here is to take the ratio of the distances of the planets to determine how much farther Neptune is from the sun compared to Mercury:
[tex]\dfrac{D_N}{D_M} = \dfrac{4.503×10^9\:\text{km}}{5.791×10^7\:\text{km}} = 7.776×10^1[/tex]
This means that Neptune is 77.76 times farther from the sun than Mercury is.
pwease help me with math question pwease
Answer:
3 1/10 and 1 3/5
Step-by-step explanation:
the given number line shows the solutions to which inequality
A)x + 4 ≥ 5
B)x – 2 > 7
C)x – 3 ≥ 6
D)x – 1 ≥ 8
—————————-
C) x – 3 ≥ 6
Solving this inequality by adding 3 on both sides, we get
x ≥ 9 which is shown on the number line
A shadow 12 meters long is cast by a water tower that is 16 meters tall. What is the length of the shadow cast by a nearby utility pole that that is 12 meters tall?
A. 6
B. 9
C. 13
D.16
perdón xbdkdbsjjznsNxnznxn
Which equation has no solution?
A)
2x=5
B)
X + 12 = 3x - 2
C)
3x + 4 = 3x + 3
D)
- 2x + 5 = -2x + 5
If you subtract 3x from both sides of that equation, you'll go from
3x+4 = 3x+3
to
4 = 3
which is a false statement. No matter what you plug in for x, the original equation is always false as well. This is why it has no solutions.
pls help with 4 4/7 -
see attached pic