The compound interest implies that Juan owes $163.52 today
How to determine the amount Juan owes?The given variables can be represented as:
Loan amount P = $128Rate of interest, R = 50%Time to pay back the loan, t = 6 months i.e. 0.5 yearThe amount from a compound interest can be calculated using:
A = P(1 + r/n)^nt
Also from the question, we have
n = 12
This is so because the loan is compounded 12 times in a year as a result of being compounded monthly
So, we have
A = P(1 + r/n)^nt
A = 128 * (1 + (50%/12))^(0.5*12)
Evaluate
A = 163.52
Hence, the amount owed is $163.52
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Find the total area of the polygon shape shown below. All measurements are given in inches. Enter only the number. The total area is blank square inches.
The total area is 45 square inches.
Area of Compound ShapesThis question requires your knowledge about the area of compound shapes. For solving this, you should:
Identify the basic shapes;Calculate your individual areas; Sum each area found. STEP 1 - Identify the basic shapes.The figure is composed of:
two squares whose sides are equal to 3 in. 1 rectangle whose sides are: 9 in and 3 inTherefore, you should sum the area of these geometric figures for determining the given area.
STEP 2 - Find the area of the squares.Area of each square = a², where a=the length of the side.
Like, the length of the side is equal to 3 in, the area will be:
A_square= 3²=9 in².
You have two squares in the figure. Then, the total area for the squares is 9 + 9 =18 in²
STEP 3 - Find the area of the rectangle.
Area of the rectangle = bh . The figure shows that: the base = 9 in and the 3=8 in
Thus, A_rectangle=bh= 9*3=27in²
STEP 4 - Find an expression for the total area of the figure.
A_total= A_squares+ A_rectangle
A_total= 18+27=45 in²
A_total= 45in²
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Ms McNaughton solved the equation below:
8x = 64
8x − 8 = 64 − 8
x = 56
Did she solve the equation correctly or incorrectly? (1 points) If the solution is correct, explain the steps she took to find the solution. If the solution is incorrect, show the correct steps to solve the equation. (4 points)
Answer:
she solved it incorrectly
Step-by-step explanation:
8x=64
8x÷8=64÷8
x=8
Answer:
no she did not
8x=64
÷8 ÷8
x=8
Step-by-step explanation:
simple
I need help with this
Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.
(a)
Calculate the total savings from the first store, including the savings on the next purchase.
$
(b)
Calculate the total savings from the second store
Answer:
Total saving from First Store = $ 1.5 + $ 5 = $ 6.5
Total saving from Second Store = $ 5
Step-by-step explanation:
Given - Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.
To find - (a) Calculate the total savings from the first store, including the savings on the next purchase.
(b) Calculate the total savings from the second store.
Proof -
Given that,
Total cashback Jason get from First Store = 25×6% = 25×0.06 = $ 1.5
So,
Total saving from First Store = $ 1.5 + $ 5 = $ 6.5
Now,
Total cashback Jason get from Second Store = 25×20% = 25×0.20 = $ 5
So,
Total saving from Second Store = $ 5
Please help me giving brainliest
Answer:
42cm^2
3x2=6x7=42
Step-by-step explanation:
Again I don’t know this . Plz help me
Answer:
y-2=0(x-3)
Step-by-step explanation:
Constance has an apple that weighs 85,000 milligrams and a peach that weighs 0.15 kilograms. Which fruit has the greater mass? Choose the words and numbers to complete the statements. Convert the masses of both fruits to the same unit.
Answer:
The peach will way more then the apple
Hope this helps you ☜(ﾟヮﾟ☜)
The weight of the peach is greater than the weight of apple
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the weight of apple be = 85,000 milligrams
And , let the weight of the peach be = 0.15 grams
Now , from the unit conversion
1 gram = 1000 milligrams
And , 1 kilogram = 1000 grams
So , the weight of apple A = 85 grams
And , the weight of the peach P = 150 grams
Therefore , P > A
Hence , weight of peach is larger
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HELP NOW QUICKKK PLZZZZ ITS TIMED WILL GIVE BRAINLYIST
Answer:
480. Since each one is 120 and there are 4 of them then its 120*4
Step-by-step explanation:
Find the limit when X approaches zero
2xsinx/1-cosx
Answer:
4
Step-by-step explanation:
[tex] Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}\times \frac{1+\cos x}{1+\cos x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1^2 -\cos^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1 -\cos^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{sin^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2x(1+\cos x) }{sin x} [/tex]
[tex] =Lim_{x \to 0} 2(1+\cos x) \times \frac{1}{Lim_{x \to 0}\frac{sin x}{x}} [/tex]
[tex] =2(1+\cos 0) \times 1 [/tex]
[tex] = 2(1+1) [/tex]
[tex] = 2(2) [/tex]
[tex] \therefore Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}= 4 [/tex]
The ___ is the ratio of a length of the new figure to the corresponding length on the original figure
INDEPENDENT PRACTICE 3. Teresa makes a circular pizza with a 14-inch diameter. Which is the approximate area of her pizza? A. 43.96 in? B. 87.92 in2 C. 153.86 in2 D. 615.44 in?
A. 43.96in?
Step_by_step explanationWhich object is located at the point (4.3)
A. Star
B. Circle
C. Triangle
D. Rectangle
Which one is it help me pls
A bag contains 9 orange marbles and 36 green marbles. If a representative sample contains 2
orange marbles, then how many green marbles would you expect it to contain? Explain.
Because the ratio of orange marbles to green marbles is in the population, the expected number
of green marbles is times the number of orange marbles in the representative sample. There
should be green marbles.
Answer:
U can divide or multiply
Step-by-step explanation:
what is more 2 liters or 2 deciliters
Answer:
2 liters.
Step-by-step explanation:
These measurement units are part of the metric system. Unlike the U.S. customary system of measurement, the metric system is based on 10s. For example, a liter is 10 times larger than a deciliter, and a centigram is 10 times larger than a milligram.
Hope this helps!!<333
Answer:
a liter is 10 times larger than a deciliter, so yes, it is more.
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
D
120%
AT
>C
B
Angles are not drawn to scale.
Enter
Answer:
Solution given:
x+120°=180°[linear pair][supplementary]
x=180°-120=60°
x=60° is your answer
Find the length of VW.
Answer:
1.8
Step-by-step explanation:
it is on the diagram
Question 5 of 10
Which solid has a greater volume?
O A. Figure A has a greater volume.
B. Figure B has a greater volume.
22
O C. They are equal.
OD. It cannot be determined.
SUBMIT
Answer:
C. They are equal
Step-by-step explanation:
Both have the same volume 24
Both Figure have same Volume.
What is Volume?Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.
We have,
Cone:
Volume of Cone = 1/3 πr²h
= 1/3 (3.14)(3)²8
= 75.36 unit³
Cylinder:
Volume of Cylinder = πr²h
= (3.14)(2)²6
= 75.36 unit³
Thus, Both figures have Equal volume.
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Attempt 1 of 2
<< <
1
2
Find the vertices for the ellipse with the given equation.
x2 + 9y2 + 2x + 18y + 1 = 0
Answer:
is this quadratic equation
Find the missing angle and round to the nearest tenth! Thank you :)
Which expression is equivalent to root 36/25
Answer:
6/5
Step-by-step explanation:
√36/25 =6/5
because root 36 is 6 and root 25 is 5.
5
Find the value of x. Show work to prove your answer.
(3x +
18)
93°
Answer:
x=34.5
Step-by-step explanation:
(3x+18)° and 93° lie along a straight line. The angles in a straight line add up to 180. So:
3x+18+93=`80
2x=180-111
x=69/2
x=34.5
Reduce 65 in ratio 5:2
Answer: [tex]46.42:18.57[/tex]
Step-by-step explanation:
[tex]5+2 = 765/7 × 5 = 46.4265/7 × 2 = 18.57∴ 65 in the ratio 5:2 = 46.42:18.57x^{2}[/tex]
The solution is 46.42857 : 18.57143
The proportion equation is given by 46.42857 : 18.57143 and
46.42857 + 18.5714365 = 65
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number be represented as N
The value of N = 65
The proportion is 5 : 2
The total value of the ratio = 5 + 2 = 7
So , each value of the proportion is x = 65 / 7
On simplifying the equation , we get
Each value of the proportion is x = 9.2857142857
Now , the proportion equation is given by
The value of 5x = 5 ( 9.2857142857 )
The value of 5x = 46.42857
The value of 2x = 2 ( 9.2857142857 )
The value of 2x = 18.57143
And , 46.42857 + 18.5714365 = 65
Hence , the proportion is 46.42857 : 18.57143 or 5 : 2
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quare cm
Read the following problems. Sketch each shape and label it.
Then, answer the questions, showing your work below each questions
(Gehad drew a square that has side lengths of 8 cm.
o
SU
The Perimeter =
The Area =
...
X
“Snoqualmie” is a name shared by a waterfall and a tribe of Native Americans. In a study of the cultural importance of the waterfall, two groups of the Snoqualmie tribe were randomly surveyed. One group consisted of Snoqualmie members living less than 25 miles from the waterfall. Another group consisted of Snoqualmie members living more than 25 miles from the waterfall. The researchers asked each member to rate the cultural importance of the waterfall as low, medium, or high. Data from the study are presented in the following table.
Answer: E ( (17)(50)/88 )
Step-by-step explanation:
(Row total * column total) / table total
please help me out, god bless you. dont answer with a link or just steal points plz, I really need help
Answer:
x = 12 radical 2 ithink these is ansewer
Which net represents this solid figure?
Rectangular prism 5.
Net of a rectangular prism 10.
Net of a cube 4.
Net of a rectangular prism 9.
Net of a triangular prism 10.
Answer:
Net of rectangular prism 9
Step-by-step explanation:
I took the test
in 1980, wind turbines in Europe generated about 5 gigawatt-hours of energy. Over the next 15 years, the amount of energy increase by about 59% per year.
NOT A MULTIPLE CHOICE
1a. Write a model giving the amount E of energy t years after 1980.
1b. Use your model determine how much wind energy was generated in 1984.
1c. Determine the year when 80 gigawatt-hours of energy were generated.
9514 1404 393
Answer:
1a. E = 5×1.59^t
1b. 32 GWh
1c. 1986
Step-by-step explanation:
1a. An exponential model looks like
f(t) = a·b^t
where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.
Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...
E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.
__
1b. For t=4, we have ...
E = 5·1.59^4 ≈ 31.96 ≈ 32
About 32 GWh was generated in 1984.
__
1c. The value of t for a given value of E is ...
E/5 = 1.59^t . . . . divide by 5
log(E/5) = t·log(1.59) . . . . take logarithms
t = log(E/5)/log(1.59) . . . . divide by the coefficient of t
For E = 80, the years after 1980 are ...
t = log(80/5)/log(1.59) ≈ 5.98
About 80 GWh were generated in 1986.
6x = 72
one step equation
Answer:
Hi! The answer to your question is x = 12
Step-by-step explanation:
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Hope this helps!!
- Brooklynn Deka
Bob took out a 5 year loan for $4000 and paid 3% annual simple interest
Bill took out a 4 year loan for $4000 and paid 5% annual simple interest
What is the sum of amounts of interest bob and bill paid for their loans
A triangle has side lengths of 12 centimeters, 12 centimeters, and 18 centimeters. What kind of triangle is it?
Answer:
isosceles triangle
Step-by-step explanation:
2 sides the same