Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.
Compound interestCompound interest is given by:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where A is the amount after t years, P is initial amount, r is the rate and n is the times compounded per period
Given that n = 1, r = 9% = 0.09, A = $7500 t = 11. Hence:
[tex]7500=P(1+\frac{0.09}{1} )^{1*11}\\\\P=\$2906.50[/tex]
Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.
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Multiply. Write your answer in simplest form. 4 1/6 x6
NEED ANSER A SAP 20 POINTS
Answer:
41
Step-by-step explanation:
41/6*6
41*6=246
246/6=41
Answer:
[tex]4 \frac{1}{6} \times 6 \\ \\ \frac{25}{6} \times 6 = 25[/tex]
Find the lateral surface area of the triangular prism. A) 84 in2 B) 90 in2 C) 96 in2 D) 104 in2.
The lateral surface area of the provided triangular prism is 96 square inches. Option C is the correct option.
What is surface area?Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.
The lateral surface area of the triangular prism can be calculated with the following formula.
[tex]A_{LS}=h(a+b+c)[/tex]
Here, (a,b,c) are the bases of the rectangular faces and (h) is the common height.
The image of the triangular prism is attached below. In the given triangular prism, the common height is 8 in and bases of the rectangular faces are 5 in, 4 in and 3 in long.
To find the lateral surface area of the given triangular prism, put the values in the above formula.
[tex]A_{LS}=8(5+4+3)\\A_{LS}=8(12)\\A_{LS}=96\rm\; in^2[/tex]
Thus, the lateral surface area of the provided triangular prism is 96 square inches. Option C is the correct option.
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Solve the equation to find the measures of the unknown angle
Answer:
41 degrees
Step-by-step explanation:
A supplementary angle pair is 180 degrees.
139+x=180
180-139=41
x=41
Each year the Student Council conducts a food drive. At the end of the drive, the members report on the items collected.
A. Describe two different ways that the students can sort the items that were collected.
B.Write two expressions to represent the number and type of items collected.
C. Share your expression with classmates. How are the expressions similar? How are they different? Why are they different?
Enter your answer.
Answer:
A) Canned and Packet
Grain, Meat and Vegetables
B) Let C = canned goods, let P = packet goods
20C + 7P
Let G = grain, let M = meat, let V = vegetables
7G + 3M + 17V
C) The number of grain and packet goods are the same in each expression, as this food group has been packaged in the same way.
The other variables in both expression are different. The meat and vegetable food groups have been separated in the second expression, whereas they are part of the same group in the first expression.
if a submarine is 3750 feet below sea level what is the integer
Answer:
-3750
Step-by-step explanation:
+3750
The opposite of + is -
So it would be -3750
If the simple interest on $5000 for years is $2400, then what is the interest rate?
Multiply: –c2(3c – 2) Apply the distributive property. Multiply. –c2(3c) (–c2)(–2) c3 c2.
The distributive property is applied to multiply the expression [tex]\rm -c^2 (3c - 2)[/tex]. Then the result is [tex]\rm -3c^3 + 2c^2[/tex].
What is distributive property?The distributive property is to make something easier to do or understand and to make something less complicated.
The expression is [tex]\rm -c^2 (3c - 2)[/tex].
On multiply, we have
[tex]\rm -c^2 *(3c) -c^2 (- 2) \\\\-3c^3 + 2c^2[/tex]
The distributive property is applied to multiply the expression [tex]\rm -c^2 (3c - 2)[/tex]. Then the result is [tex]\rm -3c^3 + 2c^2[/tex].
More about the distributive property link is given below.
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Answer:
The distributive property is applied to multiply the expression . Then the result is .
What is distributive property?
The distributive property is to make something easier to do or understand and to make something less complicated.
The expression is .
On multiply, we have
The distributive property is applied to multiply the expression . Then the result is .
More about the distributive property link is given below.
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Step-by-step explanation:
Alex’s SUV gets an average of only 15 miles per gallon. Gas costs $2.19 per gallon. Write a rule that gives the cost of a trip C when you know the number of miles d that Alex travels.
Answer:
(d miles)/(15 miles/gallon)*($2.19/gallon)
Step-by-step explanation:
Fuel efficiency = 15 miles/gallon.
Gas is $2.19/gallon.
Total cost is y.
miles is d
The equation that provides the total fuel for a trip in Alex's SUV would be:
Fuel for d miles (gallons) = (d miles)/(15 miles/gallon)
This is the total fuel required for a trip of d miles. Multiply this times the cost per gallon to find the total ciost of the trip:
(d miles)/(15 miles/gallon)*($2.19/gallon) = Total cost for a trip of d miles.
Which statement best describes the association between variable X and variable Y?
perfect negative association
no association
moderate positive association
strong negative association
you would need to cross over
What are the zeros of this function?
A. x = 0 and x = -6
B. X = 2 and x = -6
C. X = 0 and x = 5
D. x = 0 and x = -5
Answer:
c
Step-by-step explanation:
the parabola crosses the x axis at (0,0) and (4,0)
solve the equation for theta (0°≤theta<360°)
2 sin theta = 1
Answer:
30 degrees
Step-by-step explanation:
To figure out theta is using a bit of simple trigonometry.
2sin(theta) = 1
= sin(theta) = 0.5
Using arcsin (sin^-1) we can isolate x
x = arcsin(0.5)
x = 30
melissa is making punch for her party. The recipe calls for 2/5 cups of orange juice for every 1/4 cup of cranberry juice. If melissa uses 1 1/5 cups of orange juice, How many cups of cranberry juice should she use
Answer:
3/4 cups of cranberry juice
A square has a side length of n + 6. A rectangle has length n + 15 and width of
n - 3.
Find the perimeter of each figure. Are the perimeters the same? Explain
your reasoning.
Answer:
I'm pretty sure you have to add everything
2. in the figure, x is an exterior angle to the triangle below. (
a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem.
Step 1: __
Step 2: __
Step 3: __
(b) what is the measurement of
Answer:
< x = 120°
Step-by-step explanation
Step 1:
According to angle sum property,
y + 50 + 70 = 180
Step 2:
x and y are linear pairs, forming a supplementary angle.
Therefore,
x + y = 180
Step 3:
Since they are both equal to 180, equate the values
y + 50 + 70 = x + y
x = 70 + 50
x = 120
Find the perimeter of the figure.
Answer: The perimeter is 122 m.
Step-by-step explanation: The perimeter equation of a pentagon is P = s + s + s + s + s
You can therefore add all the sides of the pentagon and this will be your perimeter.
Evaluate the following expression, when n=-3 and r=-8
−5 + 3(−2r + 4n)
Pease answer ASAP
Answer:
-8
Step-by-step explanation:
Given that,
n = -3
r = -8
Now we have to find the value of the given expression.
For that, you have to replace n and r with ( -3 ) and ( -8 ) respectively.
Let us solve now.
−5 + 3 ( −2r + 4n )
-5 + 3 ( -2 × -8 + 4 × -3 )
-2 ( 16 - 12 )
-2 × 4
-8
Let me know if you've any other questions. :-)
- Hi1315
pls pls pls pls help me ( show your work ).
Answer:
14:250 15:2800
Step-by-step explanation:
14: 32%=80 dividing both sides by 8 we get 4% = 10. multiply both sides by 25 and we get 100%=250
15: same strategy, 2%=56 so 1%=28. multiply by 100 to get 100%=2800
Please help me fill the graph!!!
Paisley and her dad are digging a pond in their yard. They know the diameter will be 50 yards. What will the area of the pond be?
pls help i need soon will give brain liest if right
Answer:
See step-by-step, as it depends which value of pi you use.
Step-by-step explanation:
Equations
Diameter = [tex]2r[/tex]Area of a circle = [tex]\pi r^2[/tex] (where r is the radius)Assuming the pond is circular...
Diameter of pond = 50 yd ⇒ r = 50 ÷ 2 = 25 yd
Substitute r = 25 into the equation for the area of a circle:
[tex]\implies A= \pi \times25^2=625\pi[/tex] yd²
Using [tex]\pi =3.14[/tex], area = 1962.5 yd²
Using [tex]\pi=\dfrac{22}{7}[/tex], area = 1964.3 yd² (nearest tenth)
Using [tex]\pi[/tex], area = 1963.5 yd² (nearest tenth)
Jimmie selects a marble from a bag, notes the color, and returns the marble to the bag. After 40 trials, he selects 12 orange marbles, 18 green marbles, and 10 blue marbles. Which of the following experimental probabilities are correct based on the results?
Answer:
C) P(not orange) = 7/10; P(not green) = 11/20; P(not blue) = 3/4
Step-by-step explanation:
The sum of the probabilities of all outcomes must equal 1.
Total trials = 40
If he selects 12 orange marbles out of 40 trials, then
P(orange) = 12/40 = 3/10
⇒ P(not orange) = 1 - 3/10 = 7/10
If he selects 18 green marbles out of 40 trials, then
P(green) = 18/40 = 9/20
⇒ P(not green) = 1 - 9/20 = 11/20
If he selects 10 blue marbles out of 40 trials, then
P(blue) = 10/40 = 1/4
⇒ P(not blue) = 1 - 1/4 = 3/4
A jar contains 125 marbles. Given 2% of the marbles are green, 54% of the marbles are blue, and the rest are red, how many red marbles are in the jar?
there are 55 red marbles in the jar
Answer:
There are 55 red marbles in the jar.
Step-by-step explanation:
Green marbles = 125 x 2/100 = 2.5
Blue marbles = 125 x 54/100 = 67.5
Red marbles = 125 - 67.5 - 2.5 = 55
How can you use a sequence of transformations to map a preimage to its image?
Answer:
You can use a sequence of two or more transformations to map a preimage to its image. You can map AABC onto AA"B"C" by a translation 3 units right followed by a 90° clockwise rotation about the origin.
A sequence of transformations to map a preimage to its image is reflection.
It is required to find the transformations to map a preimage to its image.
What are transformations?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Given:
Transformation maps the pre-image, DEFG, to the image, D'E'F'G'. The transformation is a reflection.
The line of reflection must go through the center point. Two lines of reflection go through the sides of the figure. Two lines of reflection go through the vertices of the figure. Thus, there are four possible lines that go through the center and are lines of reflections.
Therefore, a sequence of transformations to map a preimage to its image is reflection.
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Round 6,824 to the nearest ten.
Answer:
It would be 6.8
Answer:
6,820
Step-by-step explanation:
round from the tens place digit.
If a rounded number has a ones place digit of less than 5, round to 0. If a rounded number has a ones place digit of 5, round to the next ten.If a rounded number has a ones place digit of more than 5,round to the next ten.
What are the values of the three trigonometric ratios for angle L, in simplest form?.
The value of the three trigonometric ratios for angle L are 4/5, 3/5, and 4/3.
What are the trigonometric ratios?
The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Given
The opposite side of the triangle is 20, the adjacent side is 15, and the hypotenuse is 25.
The three trigonometric ratios are given by;
[tex]\rm Sin \theta=\dfrac{Opposite}{Hypotenuse}\\\\Sin\theta=\dfrac{20}{25}\\\\Sin\theta=\dfrac{4}{5}\\\\\rm Cos\theta=\dfrac{Adjacent}{Hypotenuse}\\\\ \rm \rm Cos\theta=\dfrac{15}{25}}\\\\ \rm Cos \theta =\dfrac{3}{5}\\\\\rm Tan\theta =\dfrac{Opposite }{Adjacent}\\\\\rm Tan \theta =\dfrac{20}{15}\\\\Tan \theta=\dfrac{4}{3}[/tex]
Hence, the value of the three trigonometric ratios for angle L are 4/5, 3/5, and 4/3.
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How many times larger is 90,000 than 900
Answer:
100 times larger
Step-by-step explanation:
All you do is 90,000 divided by 900
90000/900 is 100
Find the perimeter of this semi-circle with radius, r = 12cm. Give your answer as an expression in terms of π .
Answer:
[tex]12π[/tex]
Step-by-step explanation:
Perimeter of the semi-circle:
[tex] \frac{2 \times 12 \timesπ }{2} = 12π[/tex]
A sandwich shop has 60 stores and 80% of the stores are in California. The rest of the stores are in Nevada.
How many stores are in California and how many are in Nevada?
16. Find mZW.
X
15
W
Y
25°
22
Z
Answer:
a 14 can be close so that we can get are our answer
Answer:48.7
Step-by-step explanation: its right
What is 5.8×10^6 seconds in minutes?
Answer:
9.66 x 10⁴ minutes
Step-by-step explanation:
To convert seconds into minutes, simply divide by 60.
=> 5.8 x 10⁶ / 60
=> 580 x 10⁴ / 60
=> 29 x 10⁴ / 3
=> 9.66 x 10⁴ minutes
Answer:
9.6×10^4
Step-by-step explanation:
1 min=60sec
5.8＊10^6 / 60= 9.6×10^4
Need help with this please
Answer:n
geadeeeeeeeeeee
Step-by-step explanation:
