Answer:
Principle (P) = $2,512.56 (Approx)
Step-by-step explanation:
Given:
Interest annually (R) = 9.5% = 0.095
Amount need (A) = $9500
Time period (T) = 14 years
Find:
Principle (P)
Computation:
A = P[e^(R*T)]
9,500 = P[e^(0.095 x 14)]
9,500 = P[3.781]
P = 9,500 / 3.781
Principle (P) = $2,512.56 (Approx)
Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.
A compound interest is given by the formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where A is the final amount, r is the rate, t is the period, P is the principal and n is the number of times compounded in a period.
Given that A = 9500, r = 9.5% = 0.095, t = 14, n = 1. hence:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\9500=P(1+0.095)^{14}\\\\9500=3.56P\\\\P=\$2666[/tex]
Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.
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3. What are all the real and complex solutions of x3 + 2x2 + 3x + 6 = 0? If necessary, round to the nearest tenth.
A. -1.5, 0.3 + 1.9i, 0.3 -1.9i
B. -2, √3, -√3, i√3
C. -2, i√3, -i√3
D. -1.5, 0.3 + i√1.9, 0.3 – √1.9
Answer:
it is C
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
Michael accidently dropped his conducting baton off the top of the bleachers while performing with the marching band at a football game. The
bleachers are 144 feet high, and the baton landed after 3 seconds. Complete the table modeling the height of the baton, h(t), after t seconds.
Answer: the first bubble is 144, the last bubble is 3
Step-by-step explanation:
at 0 seconds the height is 144. at 3 seconds the height is 0.
The required missing values in the table are (0,176) and (3.67, 0).
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The equation representing the given data in the table is given by the equation of the line,
y - y₁ =(y₂ - y₁) / (x₂ - x₁) (x - x₁)
Substitute the value in the above equation from the table.
y - 128 = (80-128)/(2-1) (x - 1)
y - 128 = -48/1(x - 1)
y = -48x + 48 + 128
y = -48x + 176
Put x = 0 in the above equation,
y = 176 feet high
Again put y = 0
0 = -48x = +176
48x = 176
x = 176 / 48
x = 3.67
Thus, the required missing values in the table is (0,176) and (3.67, 0).
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True or false : dilations always have the same scale factor as the original shape
Answer:
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. ... After a dilation, the pre-image and image have the same shape but not the same size.
Answer:
I would say False
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. After a dilation, the preimage and image have the same shape but not the same size.
Hope this helps.
40x + 44 = 38x + 44
Answer:
x = 0
Step-by-step explanation:
40(0) + 44 = 38(0) + 44
44 = 44
When x = 0 the equation is true
Answer:
x=no solution
Step-by-step explanation:
40x+44=38x+44
-44 -44
40x=38x
what fraction is equal to 4.5
Answer:
9/2
Step-by-step explanation:
in order to find the fraction form of 4.5... we need to set a denominator. The denominator has to be greater than 1 because we 4.5 is not a whole number...
we want the simplest denominator in the end... so we'll pick 2 for a denominator and change it if it doesn't work in the end...
now that we know the denominator... we have to make the numerator 4 times larger than the denominator (2)... when we do this... we get 8/2
since we made the numerator 4 times larger than the denominator... we know that 8/2 is the same as 4
now we need to find the remaining 1/2
this can be done by simply adding 1/2 to 8/2 (which is easily done thanks to a common denominator)
Since 9/2 cannot be simplified any further... it is our final answer
Brainliest if you provide an explanation and/or get it right!
Q: Find the value of y if x = 3
A statistician predicts that the probability of a race car driver winning their next race is 9/10. What are the odds against them winning?
Answer:
90%
Step-by-step explanation:
We know that
9/10
is the same as
9÷10
Then using
Long Division for 9 divided by 10
gives us
0.9
Converting our number to a percentage:
0.9×100
=90%
(Note this isnt rounded up.)
4. There were 2000 students at the university.
After some students graduated, there were
1600 students remaining. By what percent did
the number of students at the university
decrease?
Answer:
20%
Step-by-step explanation:
you take away the zeros and make it 16/20. 16/20=80%. 100%-80%=20%
Answer:
20%
Step-by-step explanation:
2000-1600=400
400/2000=1/5=20%
Determine the y-intercept for 3x+2y=14
Answer:
Using the slope-intercept form, the y-intercept is 7
Step-by-step explanation:
Answer: y=7-3x/2 3x/2 is seen as a fraction
Step-by-step explanation:
Move all the terms that don’t contain y to the right and then solve
6. Which equation or inequality represents the following description? & Multiply the quantity 2 more than a number by 8. The result is at least 12 times the number subtracted from 76.
A. 8(2n) < 76 - 12
B. 8n + 2 = 12n - 76
C. 8(n + 2) > 76 - 12n
D. 8(2n) = 76 – 12n
Answer:C it’s bc it says at least 12 time the number subtracted from 76
Step-by-step explanation:
If it’s wrong sry if your gonna be mean to me just work it by your self don’t use brainly
Write the equation of the line through the points (4,5) and (12,9)
Answer:
y - 9 = 1/2 (x - 12)
Step-by-step explanation:
find slope:
9-5 = 4, 12 - 4 = 8, slope = 1/2
put in point-slope form:
y - 9 = 1/2 (x - 12)
(Pls help me! I don’t understand!) it’s as image btw
3
125 men and 150 women are at a wedding. Write this as a ratio of men to
women in its simplest form.
Answer:
The ratio of men to women in this situation is 5/6.
Step-by-step explanation:
If you rewrite this as a percentage, it is 83.33%.
And also the alternative form of the answer is 0.83.
Hope this helps and if you could mark as brainliest. Thanks!
Answer:
125 : 150
25 : 30
5 : 6
Step-by-step explanation:
men ' s ratio is 5 while women' s is 6
Type the following fractions in order from greatest to least:
5/4, 4/10, 5/12, ¼, 11/12
Write the decimals in the boxes from greatest to least:
0.5, 0.91, 0.04, 0.89, 0.51
Answer:
Just put the greatest number first and then the second greatest etc
According to a 2009 Reader's Digest article, people throw away approximately 90% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 100 grocery shoppers to investigate their behavior.
Required:
What is the probability that the sample proportion exceeds 0.84?
Answer:
0.9495
Step-by-step explanation:
We are given;
Population proportion; p = 90% = 0.9
Sample size; n = 100
Sample Proportion; p^ = 0.84
Formula to find the probability that sample proportion exceeds 0.84 is;
Z = P(p^ > 0.84) = (p - p^)/√(p^(1 - p^)/n)
Z = (0.84 - 0.9)/√(0.84(1 - 0.84)/100)
Z = -0.06/0.03666
Z = -1.64
From online z-score calculator attached, the probability is;
P(x>Z) = 0.9495
If the ratio of circles to triangles you will only need to write ratios in one form of your choice
Answer:
Ratio of area of circles: = πr2 :πc2 = πr2 :π r2 4 = 4 :1. 1. The small equilateral triangle is rotated through 60° about O, the center of the circle. The arm of the rotation is the radius of the circle
Step-by-step explanation:
Know how to calculate sample size: A restaurant would like to estimate the average $ amount of a take-out order. The standard deviation is $15. If a 99% confidence level and an interval (error) of $5 is desired, how many customers should be in the sample?
Which of the following examples would use the z-distribution:______.
a. x = 100; µ = 99; s = 5; n = 70
b. x = 50; µ = 53; σ = 7; n = 15
c. x = 7; µ = 4; s = 1; n = 20
d. x = 15; µ = 17; σ = 3; n = 45
How many pounds of grapes can I buy for $1.00?
2.09
Here you go! Hope it helps!
Help! Will mark brainliest!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°.
Answer:
A C E
Step-by-step explanation:
I'm a little late but I hope this still helps!
Answer:
yeah what he said. A C E
Step-by-step explanation:
I just did the assignment and its right
Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and a drink, which expression can be used to express the total cost of the meal?
Answer:
one expression you could use could be, 10.25A +8.50K=total
Step-by-step explanation:
you would take 1.75 and add it to the 8.50 for the adults and 6.75 for the kids
Answer:
$8.50a+$6.75k+$1.75a+$1.75k
Step-by-step explanation:
Write an equation perpendicular to x-3y=3 passes through (5,-9)
Equation of a line perpendicular to x - 3y = 3 will be y = -3x + 6.
If two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular, property of perpendicular lines shows,
[tex]m_1\times m_2=-1[/tex]
Line given in the question is,
x - 2y = 3
-2y = 3 - x
[tex]y=\frac{1}{3}x-1[/tex]
Slope of this line is,
[tex]m_1=\frac{1}{3}[/tex]
Therefore, slope of the perpendicular line to the given line will be,
[tex]\frac{1}{3}\times m_2=-1[/tex]
[tex]m_2=-3[/tex]
Equation of a line passing through a point (h, k) and slope 'm' is given by,
y - k = m(x - h)
Therefore, equation of a line passing through (5, -9) and slope (-3) will be,
y - (-9) = -3(x - 5)
y + 9 = -3x + 15
y = -3x + 6
Hence, equation of the line perpendicular to x - 3y = 3 will be y = -3x + 6.
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Answer this math question and ill give brainliest
Answer:
6 squares!
Hope this helped! :)
This is how many classes students at Bronx College take this semester with the probabilities courses1 2 3 4 5 probability (distribution) of taking that many courses.1.1.6.1.1 The variance for this distribution is approximately.
Answer:
1
Step-by-step explanation:
Given the question above :
The probability distribution :
X : ___ 1 ___ 2 ___ 3 ___ 4 ____ 5
P(x): _ 0.1 __ 0.1 __ 0.6 _ 0.1 __ 0.1
The Variance : Var(X) = (Σx²*p(x)) - μ²
μ = E(X) = Σ(X * p(x)) :
Σ(X * p(x)) = (1*0.1)+(2*0.1)+(3*0.6)+(4*0.1)+(5*0.1)
μ = 3
Var(X): [(1^2*0.1)+(2^2*0.1)+(3^2*0.6)+(4^2*0.1)+(5^2*0.1)] - 3²
= 10 - 9
= 1
Hence. Variance = 1
Consider the following experiment: Rolling a die. What is the sample space of the experiment? What is the probability of getting a 1 or a 2? a. 12 possible outcomes; P(1 or 2) = StartFraction 3 Over 12 EndFraction b. 12 possible outcomes; P(1 or 2) = One-third c. 6 possible outcomes; P(1 or 2) = One-fourth d. 6 possible outcomes; P(1 or 2) = One-third Please select the best answer from the choices provided A B C D
Answer: D
Step-by-step explanation: Edge
Answer:
It is D i think.
How to reduce 0.35 to the lowest term
Answer:
7/20
Step-by-step explanation:
[tex] 0.35 = \frac{35}{100} = \frac{7}{20} \\ \\ [/tex]
Answer:
7/20
Step-by-step explanation:
35/5=7
100/5=20
35/100=7/20
Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.
Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?
Answer:
multiply 1 1/3 by 8x6 and see how many packages
help, please
thank you
i will brainlist
Answer:
The answer is √156
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
You bought a game system tor 120 and sold
it for $150. What is the percent increase?
Answer:
25%
Step-by-step explanation:
I think...
Answer:
25%
Step-by-step explanation:
Find the value for
20:5=30:X
Answer: 6
Step-by-step explanation:
20/5 = 30/x
5 = 30/x
x = 6
The value 'x' in the given equation is 7.5.
What is the ratio of two numbers?"Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B."
Given, 20:5=30:X
⇒ [tex]\frac{20}{5} = \frac{30}{x}[/tex]
⇒ x = (30 × 5) / 20
⇒ x = 7.5
Therefore, the value of x is 7.5.
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A narrow rectangular banner is 5 inches wide. It is 6 times as long as it is wide. what is the area ?
Answer: 30
6 times larger than the width = that's 5×6=30.
Answer:
30 is the answer
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