Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
[tex]SI = \dfrac{P \times R \times T}{100}[/tex]
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The simple Interest she is currently getting,
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3}{100} =\$900[/tex]
A.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.2 \times 3}{100} =\$945[/tex]
B.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.1 \times 3}{100} =\$922.5[/tex]
C.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3.25}{100} =\$975[/tex]
D.)
[tex]CI = P(1+\dfrac{R}{100})^t -P = \$7,500(1+0.04)^{2.75}-\$7500 = \$854.16[/tex]
Hence, Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.
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Find the total surface area of the figure shown.
20 cm
16 cm
10 cm
12 cm
Answer:
672
Step-by-step explanation:
(1/2×16×12)×2 + (10×12) + (10×16) + (20×10)
The total surface area of the figure is S = 672 cm²
What is the surface area of the prism?The surface area of the prism is calculated as
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
The area of the triangular prism is A = ph + ( 1/2 ) bh
Given data ,
Let the area of the 2 triangles be T
Let the area of the 2 rectangles be R
Let the area of the third side be U
Now , the total surface area of the prism = T + R + U
where T = 2 x ( 1/2 ) ( 16 x 12 )
T = 192 cm²
R = ( 16 x 10 ) + ( 12 x 10 )
R = 280 cm²
And , U = 20 x 10
U = 200 cm²
Therefore , the total surface area of prism S = 192 cm² + 280 cm² + 200 cm²
S = 672 cm²
Hence , the surface area of prism is S = 672 cm²
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Does anyone know how to do this, I’m failing math and I need this to boost my grade. Someone help please
Answer:
Step-by-step explanation:
Hey, I'm not sure if I am right, but I hope it can create a spark or something.
8. Find x
10x - 1 = 14x - 37 Combine like terms
+37 +37
10x + 36 = 14x Combine like terms
-10x -10x
36 = 4x Divide to isolate x
36 = 4x
4 4
9 = x
You can also do this method with the others.
PS: I am still not sure if this is the right method, lol. I just really want to help.
A yard is 3.1 meters long and 1.4 meters wide. What is the area of the yard? Group of answer choices
Answer:
The area of the yard is 4.34.
Step-by-step explanation:
a = l x w
a = 3.1 x 1.4
a = 4.34
Failure to turn in the assignment on time will result in a loss of 5 points.
a
If you do not turn it in by Monday, January 17, 2021, at 8:00 a.m., you will receive 0 points for the assignment.
4 A store is having a 10% -off sale on all merchandise.
If Mai buys one item and saves $18, what was the original price of her purchase?
Answer:
Step-by-step explanation:
If may buys an item that, after 10% sale, costs 18 dollars
let x be original price
discount is 10%x=0.10 x
x- 0.10x=18
0.90x=18
x=18/0.90=20
x=20
Help please...........................
Answer:
1st one is 16.
2nd one is 5.
Step-by-step explanation:
Multiply 4x4 and you get 16.
Multiply 5x1 and you get 5.
Please give brainlest.
PLEASE ANSWER THIS QUESTION RIGHT Name the x-intercept(s)?
A:0 and 4,B:2,C:4,D:0.
Answer:
A. 0 and 4
Step-by-step explanation:
The x-intercepts are simply the values of x when y = 0. In other words it is the points where the line curve intercepts or cuts across the x-axis.
Form the graph given, we can see that at x = 0 and x = 4, the value of y = 0. Simply put, the curve cuts the x-axis at x = 0 and x = 4.
x-intercepts are 0 and 4.
13/14% of a quantity is equal to what fraction of the quantity. simplify your answer
Answer:
=1
Step-by-step explanation:
multiply the numerator and denominator by common integer
Which of the following is true? Group of answer choices Pie charts can generally be used instead of bar charts. Line charts are not used for cross-sectional data. Pyramid charts are generally preferred instead of column charts. Line charts are useful for visualizing categorical data.
Answer:
Pie charts can generally be used instead of bar graphs
Step-by-step explanation:
A pie chart can be used instead of a bar chart. A pie chart is an alternative to the bar chart. Both of these can be regarded as data visualization tools. The pie chart shoes us generally how several parts makes up a whole. While the bar chart uses rectangular bars to show us the proportion of each of the categories of data
The statement which is true among the given group of options is; Pie charts can generally be used instead of bar charts.
Data visualization toolsPie charts can be used as substitutes for bar charts. This stemmed from.the fact that both tools are data visualization tools.
On this note, pie charts can be used to replace the bar charts even though pie charts entails dividing the 360° angle in a circle in respective ratios.
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What kind of transformation is it when it gets bigger? Like a small star to a bigger star.
A 16 ft tall adult giraffe standing next to a
baby giraffe casts a 8 ft shadow. If the
baby giraffe is 6 ft tall, then how long is
its shadow?
Answer:
The shadow is 3 ft tall
Step-by-step explanation:
The older giraffe is 16 ft tall and 8 is half of 16 and 8ft is the length of the shadow so that means that half of the small girafe would be 3ft because half of 6 is 3.
Sorry if its not correct
Which of the following is not a function?
The answer is the first choice
Step-by-step explanation:
because the two goes into 4 and 5, in order for it to be a function the x value has to be used once
1 foot = 12 inches therefore 5 feet = what
Answer:
60 inches
Step-by-step explanation:
1 foot = 12 inches
5 feet = ?
5*12 = 60
[tex]1\cdot \text{foot} = 12\cdot \text{inches} \implies 5 \cdot\text{foot} =5\cdot 12 \cdot\text{inches} \implies 5 \cdot\text{foot} =60 \cdot\text{inches}[/tex]
The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. The length of the hypotenuse is 6ft more than twice the length of the shorter leg. Find the side lengths of the triangle.
a. Find the length of the shorter side
b. Find the length of the longer side
c. Find the length of the hypotenuse
d. Find the side lengths of the triangle.
Answer: Shorter side = 10 feet
Longer side = 24 feet
Hypotenuse = 26 feet
The side lengths of the triangle are 10ft, 24ft and 26ft.
Step-by-step explanation:
Let the length of the shorter leg be x.
The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. This will be: = 2x + 4
The length of the hypotenuse is 6ft more than twice the length of the shorter leg. This will be: = 2x + 6
Note that the square of the hypothenuse will be equal to the square of the other two sides. This will be:
x² + (2x + 4)² = (2x + 6)²
x² + (2x + 4)(2x + 4) = (2x + 6)(2x + 6)
x² + 4x² + 8x + 8x + 16 = 4x² + 12x + 12x + 36
x² + 4x² + 16x + 16 = 4x² + 24x + 36
5x² + 16x + 16 = 4x² + 24x + 36
Collect like terms
5x² - 4x² + 16x - 24x + 16 - 36 = 0
x² - 8x - 20 = 0
x² - 10x + 2x - 20 = 0
x(x - 10) + 2(x - 10) = 0
Therefore, x - 10 = 0
x = 10
a. length of the shorter side = 10ft
b. Length of the longer side = 2x + 4 = 2(10) + 4 = 20 + 4 = 24ft
c. length of the hypotenuse = 2x + 6 = 2(10) + 6 = 20 + 6 = 26ft
d. The side lengths of the triangle are 10ft, 24ft and 26ft.
Answer:
egg
Step-by-step explanation:
yes
In a random sample of 60 computers, the mean repair cost was $150. Assume the population standard deviation is $36. Construct a 95% confidence interval for the population mean.
Answer:
The 95% confidence interval for the population mean is between $140.89 and $159.11.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{36}{\sqrt{150}} = 9.11[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 150 - 9.11 = $140.89
The upper end of the interval is the sample mean added to M. So it is 150 + 9.11 = $159.11
The 95% confidence interval for the population mean is between $140.89 and $159.11.
-11x - 7y=-56 what is the slope and y intercept
Answer:
49/11 I think I'm not sure
What is the value of the expression 9 x to the power of 2 minus 12 x plus 4 when x equal 3 ?
A.22
B.49
C.85
D.697
Answer:
22
Step-by-step explanation:
because it just is
The total weight of 15 containers on a freight train is 330 tonnes. What is the mean weight of the containers?
Answer:
the mean weight is 22 tonnes
Step-by-step explanation:
mean=total sum/number of numbers you added
in this case the question already gave you the total so just divide right away
mean weight= 330/15 = 22 tonnes
A point has
ono length
no width
no thickness
all of the above
A point has no length or thickness.
ALL OF THE ABOVE
Jeremie bought 5 pounds of bananas for $4.45. How much is 1 pound of bananas? Show or explain your reasoning
what is the strategies for this math problem?
Answer:
1 pound of bananas is 0.89
Step-by-step explanation:
Money over quantity 4.45/5
that means you divide so heres the layout
4.45/5 = x/1 so that is
5x=4.45 divide 5 so that gives us our variable 5÷5 that cancels out five 4.45 divide by 5 is 0.89
so for every pound of bananas is 0.89
And you would use Unite Rate as your strategy
Answer:
for 1 pound of banana...it is 0.89
Step-by-step explanation:
for 5 pound=4.45
for 1 pound =?(x)
5x=4.45×1
x=4.45/5
x=0.89
Two hours after leaving his home, Nolan traveled a distance of 120 miles. Distance in this scenario is represented by d and time is represented by t.. [2 points]Part A. Assuming that Nolan travels at the same speed during his trip, which of the following statements can be used to describe the distance Nolan may have traveled?
a.Nolan traveled 180 miles after 3 hours
.b.Nolan traveled 60 miles after 2 hours
.c.Nolan traveled 120 miles after 1 hour.
d. Nolan traveled 60 miles after 0 hours.
Part b
Part B. Write an equation that represents the distance traveled by the car for an amount of time. Then name the dependent variable
.a.d=120t, d is the dependent variable
b.d=60t, d is the dependent variable
c.d=120t, t is the dependent variable.
d=60t, t is the dependent variable
Answer:
Part A = A
Part B = C
Step-by-step explanation:
Ik I have Ms. Keten too :/paper costs $ 40 for 10 teams how much for 1 ream?
Answer:
$4
Step-by-step explanation:
40/10 = 4
HELP PLS! whoever gets it right gets brainliest!!
Answer:
(7, -4)
Step-by-step explanation:
it's the only one remotely close to the line.
what is another way to solve 8 × 6.98
Answer:
8 × 6.98
Step-by-step explanation:
..............
According to a survey of workers,2/20 of them walk to work, 1/20 bike, 4/20 carpool,13/20 and alone. What percent of workers walk or bike to work?
Alex has a video game membership that costs $36 per month. Which table shows the sum of the amounts that Alex will pay for his video game membership over the next 4 months?
Answer:
$144 at the end of 4 months
Step-by-step explanation:
$36 x 4 =144
Answer:
It will be $144
Step-by-step explanation:
because you do 36 times 4 and u get $144
Determine which, if any, of the given values is a solution.
8p − 16 = 40
p = 5; p = 7; p = 9
p = ?
Answer:
p – 7 = -12
The answer
P = 7
8p - 16 = 40
40 + 16 = 56
8p = 56
56 ÷ 8 = 7
Need help fast!!!
Point P has coordinates (1, 3). Point Q has coordinates (4, 8). How long is the line segment? Round to the nearest tenth if necessary.
Answer:
0
Step-by-step explanation:
0
17/15 - 4/5 please answer
Answer:
1/3
Step-by-step explanation:
17/15-4/5
17/15-4*3/5*3
17/15-12/15
17-12/15
5/15
1/3
The equivalent value of the fraction is A = 1/3
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be p
Let the second fraction be q
Now , A = p - q
when the value of p = 17/15
And , when the value of q = 4/5
On simplifying the equation , we get
A = 17/15 - 4/5
So , the left hand side of the equation is equated to the right hand side by the value of ( 17/15 - 4/5 )
A = ( 17/15 - 4/5 )
Taking the LCM of the denominators of the fraction , we get
A = ( 17 - 12 ) / 15
On simplifying , we get
A = 5/15
A = 1/3
Therefore , the value of A = 1/3
Hence , the fraction is A = 1/3
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please hurry!!!
For the class picnic, 25 liters of punch were purchased. 6 liters were left over. How many gallons of punch were used at the picnic? (1 liter is approximately 0.26 gallons)
Answer:
Gallons of punch used = 4.94 gallons
Step-by-step explanation:
Given that:
Liters of punch purchased = 25 liters
Liters of punch left over = 6 liters
Liters of punch used = 25 - 6 = 19 liters
According to the given statement;
1 liter = 0.26 gallons
19 liters = 0.26*19 gallons
19 liters = 4.94 gallons
Hence,
Gallons of punch used = 4.94 gallons
Need help ASAP will mark Brainly
Answer:
115°
Step-by-step explanation:
its in the middle of 60° and 70°