Answer:
180100
Step-by-step explanation:
Use savings annuity formula
Substitute A(25) = $550,000 , R= 0.03 and N=12 simplify and solve for D.
You have earned 292589 dollars from compound interest.
What is compound interest ?Compound interest is calculated from both the initial principle and the previous accumulated interest.
According to the given question you invest, every month, in an annuity that pays 3% interest.So r = 3.
After 25 years, you have 550,000 dollars so amount (A) = 550,000.
We know, Interest = Amount - Principle.
A = P(1 + r/100)ⁿ, where n represents time in years.
Given n = 25.
The interest is compounded monthly so the formula will be
A = P[1 + (r/12)/100]¹²ⁿ.
555000 = P[ 1 + 3/1200]¹²ˣ²⁵.
555000 = P[ 1203/1200]³⁰⁰.
555000 = P(1.0025)³⁰⁰.
555000 = 2.115P
P = 262411.
CI = ( 555000 - 262411) dollars.
CI = 292589 dollars.
learn more about compound interest here :
https://brainly.com/question/14295570
#SPJ2
Please help with this
9514 1404 393
Answer:
15.4 square feet
Step-by-step explanation:
The area of the painting will be the area of the sketch multiplied by the square of the ratio of linear dimensions.
painting area = (0.24 square feet)(8^2) = 15.36 square feet
The area of the painting is about 15.4 square feet.
5. In a right triangle, the sum of the lengths of the two legs is 100 meters. What are the lengths of the three sides
of this right triangle if the triangle's area is maxed out?
Answer:
6m by 8m by 10m
Step-by-step explanation:
6²+8²= 100
36+64=100
100=100
Find the distance between the pair of points.
(-4,3) and (-8,3)
The distance between the pair of points is
units.
Answer:
4 units
Step-by-step explanation:
Use the distance formula
d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Plug in the points
d = [tex]\sqrt{(-4 - (-8))^2 + (3 - 3)^2}[/tex]
d = [tex]\sqrt{(4)^2 + (0)^2}[/tex]
d = [tex]\sqrt{16}[/tex]
d = 4
So, the distance between the pair of points is 4 units
Answer:
4 units
Step-by-step explanation:
[tex]\large{ \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }[/tex]
The formula above is the formula of distance between two points.
Substitute the ordered pairs in.
[tex] \large{ \sqrt{ {( - 4 + 8)}^{2} + {(3 - 3)}^{2} } } \\ \large{ \sqrt{ {4}^{2} + 0 } } = \sqrt{16} = 4[/tex]
Therefore, the distance between two points is 4 units.
How do I do this: 16 divided by 0.05
Answer:
320
Step-by-step explanation:
Step 1: Estimate the answer by rounding .
Step 2: If the divisor is not a whole number, then move the decimal place in places to the right to make it a whole number.
Step 3: Divide as usual.
Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.
Answer: 320 is the correct answer
Step-by-step explanation:
To answer this questions is simple, you can see it as a long division question or regular division
Regular division:
16 ÷ 0.05 = 1600
(You can transform this into a simple non-decimal question and solve easliy)
1600 ÷ 5 = 320
This is the way to solve these type of questions without straining your brain in the process.
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
[tex] \sqrt{18 } is \: a \: \: answer \: pls \: follow \: me[/tex]
Answer:
Step-by-step explanation:
-3i Square root of 2
What is the solution of 4x + 10 = 30?
X =
If 2 people answer then I’ll mark one of them brain list(that give me the correct answer)
Jacqueline is ordering pizzas for a party. Each pizza is cut into 12 slices. Jacqueline wants to have enough pizza so each person can have 4 slices. 16 people will be at the party. If Jacqueline buys 7 pizzas, how many extra slices will be left over after each guest eats 4 slices?
Answer:
20
Step-by-step explanation:
Just write down the answer.
I’ll mark as BRANLIEST!!
35 POINTS!!
- Determine whether each table or rule represents a linear or exponential function. Explain why or why not.
Answer:
Definitions of gravitational force. (physics) the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface. synonyms: gravitation, gravitational attraction, gravity.
What is the solution set of x2 – 10 = 30x?
{–220, 250}
{–250, 220}
{15 – StartRoot 235 EndRoot, 15 + StartRoot 235 EndRoot}
{–15 – StartRoot 235 EndRoot, –15 + StartRoot 235 EndRoot}
9514 1404 393
Answer:
(c) {15 -√235, 15 +√235}
Step-by-step explanation:
For solutions p and q, the trinomial is ...
(x -p)(x -q) = x² -(p+q)x +pq
That is, the constant term (-10) must be the product of the roots, and the x-coefficient (-30) must be the opposite of their sum.
The sums of roots in the answer choices are ...
a) 30
b) -30
c) 30
d) -30
We know the sum of roots is 30, so we can eliminate choices 'b' and 'd'.
The product of the roots must be -10, eliminating choice 'a'. Thus, the only viable choice is C.
_____
The product of the roots of C is ...
(15 -√235)(15 +√235) = 15² -235 = -10 . . . . as required
Answer:
C
Step-by-step explanation:
Estelle swims for the Shorewood Sharks swim team, Last season, she kept track of how far
she swam at each practice.
Distance swam (m)
+
1,000
1,400
1,800
2,200
2,600
3,000
What was the shortest distance Estelle swam at practice?
meters
Answer:1,400
Step-by-step explanation:
The shortest distance Estelle swam at practice is 200 meters if the Estelle swims for the Shorewood Sharks swim team
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have box plot data:
1,000 1,400 1,800 2,200 2,600 3,000
From the box plot:
The shortest distance Estelle swam at practice is given by:
= 1800—(1400+1800)/2
= 1800 – 1600
= 200 meter
Thus, the shortest distance Estelle swam at practice is 200 meters if the Estelle swims for the Shorewood Sharks swim team
Learn more about the box and whisker plot here:
brainly.com/question/3209282
#SPJ2
a reflection across y=2
HELP DUE VERY SOON
Answer:
n' = (-5,2) k' = (-1,1) t' = (-5,0)
Step-by-step explanation:
Which graph represents exponential decay?
On a coordinate plane, a straight line has a negative slope.
On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up in quadrant 1.
On a coordinate plane, a straight line has a positive slope.
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2.
The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2 thus, option (D) is correct.
What is an exponential function?In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
As per the given,
The exponential function is a function that changes rapidly, for example, y = 6^x here as x approaches higher the y approaches rapidly higher.
Exponential decay is the exponential function that rapidly decreases as x increases for example y = 6^(-x).
The graph of the exponential decay has been graphed below.
Hence "The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2".
For more about exponential function,
https://brainly.com/question/15352175
#SPJ6
Answer:
D
Step-by-step explanation:
edge
hope this helps :)
What is the simplified value of the expression below?
StartFraction 7 times 8 + 20 (4.5) over 16 times 0.5 EndFraction
18.25
21.38
110.25
119.50
Answer:
C: 110.25
Step-by-step explanation:
The simplification form of the provided expression is 18.25 option (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have a mathematical expression:
[tex]= \rm \dfrac{7\times8+20(4.5)}{16\times0.5}[/tex]
= (56 + 90)/8
= 146/8
= 18.25
Thus, the simplification form of the provided expression is 18.25 option (A) is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Use the formula speed distance/time to calculate each speed A train travels 120miles in 2hours speed= Mph
Answer:
60
Step-by-step explanation:
120 miles divided by 2 hours equals 60 mph
An official for a national dog show studies the characteristics of one breed of dog, the Dandie Dinmont Terrier. Two common measurements are the height and weight of the dog, and the official would like to develop a model that would be helpful in predicting weight based on a given height. The official first makes a scatterplot that relates height and weight, then another that compares the logs of each measurement.
A graph titled Dandie Dinmont Terrier height versus weight has height (inches) on the x-axis, and weight (pounds) on the y-axis. The points curve up.
A graph titled Dandie Dinmont Terrier log height versus log weight has log (height) on the x-axis, and log (weight) on the y-axis. The points curve up.
Based on the graphs, which type of model is likely appropriate for predicting weight from height?
A linear model is appropriate because the graph of the transformed data is roughly linear.
A power model is appropriate because the scatterplot of height versus weight appears curved.
A power model could be appropriate because the scatterplot of log height versus log weight is roughly linear. The next step is to look at the residual plot.
An exponential model is appropriate because the scatterplot of log height versus log weight has a stronger linear relationship than the scatterplot of the non-transformed data.
Based on the graphs provided its is seen that, a power model could be appropriate because the scatter plot of log height versus log weight is roughly linear. Therefore, option C is the correct answer.
Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
Based on the graphs provided its is seen that, a power model could be appropriate because the scatter plot of log height versus log weight is roughly linear. The next step is to look at the residual plot.
Therefore, option C is the correct answer.
To learn more about the scatter plot visit:
https://brainly.com/question/29231735.
#SPJ1
PLEASE HELP 100 points I’m on a time(there’s a picture) With respect to air safety, in which year between 1966 and 1976 did the lowest number of air fatalities occur, and how
many passengers were killed in that year?
Year:1976,1974,1975
Passengers killed: 552,441,386
Looking at the column for number of passengers killed.
The lowest year was 1975 with 441 killed.
Answer:
1975
441
Step-by-step explanation:
What is the missing length?
compare and contrast area and perimeter
Answer:
area is the numbers around the shape and perimeter is inside
Step-by-step explanation:
Need answer please !!
What probability statement would you add to P(blue) = 1 10 to make a complete probability model for the event choosing a foam ball at random from the box?
Answer:
The chances of landing on blue are 1 in 4, or one fourth. The chances of landing on red are 1 in 4, or one fourth. This problem asked us to find some probabilities involving a spinner.
20 POINTS FOR ANSWERING ALL PARTS
Answer:
wont let me download
Step-by-step explanation:
Suppose that 8% of college students are vegetarians. Determine if the following statements are true or false, and explain your reasoning.
a. The distribution of the sample proportions of vegetarians in random samples of size 60 is approximately normal since n >= 30.
b. The distribution of the sample proportions of vegetarian college students in random samples of size 50 is right skewed.
c. A random sample of 125 college students where 12% are vegetarians would be considered unusual.
d. A random sample of 250 college students where 12% are vegetarians would be considered unusual.
e. The standard error would be reduced by one-half if we increased the sample size from 125 to 250.
Step-by-step explanation:
we have p=proportion of vegetarian students=0.08
a. FALSE.
for normal approximations we must have np>=5 and n(1-p)>=5
here n=60 so np=60*0.08=4.8 which is less than 5.
hence normal approximation is not applicable.
b. TRUE.
for binomial proportion , the distribution is right skewed if 1-2p>0 or, 0.5>p
here, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.
c. FALSE.
here, n=125 which is quite large. hence normal approximation is applicable.
let phat be the sample proportion
then phat approximately follows a normal distribution with E[phat]=p=0.08
and variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888
hence standard deviation=sqrt(0.0005888)=0.0242652
hence effective range of phat is [0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956]
12%=0.12 lies in this effective range.
hence it is not unusual.
In this exercise we have to classify whether the statements are true or false:
a) False
b) True
c) False
d) False
e) False
We have: [tex]p=proportion of vegetarian students=0.08[/tex]
a) FALSE.
For normal approximations we must have:
[tex]np\geq 5 \\n(1-p)\geq 5[/tex]
Where [tex]n=60[/tex] so [tex]np=60*0.08=4.8[/tex] which is less than 5. Hence normal approximation is not applicable.
b)TRUE.
For binomial proportion , the distribution is right skewed if :
[tex]1-2p>0 \\ 0.5>p[/tex]
Where, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.
c) FALSE.
Where, n=125 which is quite large. hence normal approximation is applicable. Let phat be the sample proportion then phat approximately follows a normal distribution with:
[tex]E[phat]=p=0.08[/tex]
and [tex]variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888[/tex]
Hence standard deviation [tex]=sqrt(0.0005888)=0.0242652[/tex]
hence effective range of phat is:
[tex][0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956][/tex]
12%=0.12 lies in this effective range. Hence it is not unusual.
d) FALSE.
e) FALSE.
See more about proportion at : brainly.com/question/8704765
Solve each division problem, and classify it based on its quotient.
Answer:
show the image so i can answer
plz put the image so i can see cus there are two types
giving brainliest !!
answer asap
Answer:
352 in squared
Step-by-step explanation:
Using the formulas
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving forA
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=12·8+10·8+10·8+1
2·﹣124+2·(12·10)2+2·(12·10)2﹣104+2·(10·10)2﹣104
=352
Help me please! Its really complicated
1. 4.5 cm
2. 25.13 inches
3. 78.54 cm
4. 13 cm. 6.5 +6.5
Radius is half the diameter
Step-by-step explanation:
1) Radius = Half of Diameter
[tex]r = \frac{1}{2} d \\ r = \frac{1}{2} \times 9 \\ = 4.5cm[/tex]
2) Given r = 4 in.
Circumference of Circle =
[tex]2\pi \: r \\ = 2\pi(4) \\ = 8\pi \: cm[/tex]
3) Given r = 5 in.
Area of Circle =
[tex]\pi {r}^{2} \\ = \pi {5}^{2} \\ = 25\pi {cm}^{2} [/tex]
4)Diameter = 2x Radius
[tex]d = 2r \\ = 2 \times 6.5 \\ = 13cm[/tex]
Note for questions 2 and 3 I will leave answers in terms of pi as the question did not specify to leave the answer as what. You can use your calculator to evaluate them if needed.
Two lines, A and B, are represented by the following equations:
Line A: 2x + y = 6
Line B: x + y = 4
Which statement is true about the solution to the set of equations? (4 points)
a It is (2, 2).
b There are infinitely many solutions.
c It is (4, 0).
d There is no solution.
Answer:
The answer is B! if you want to do more of these problems may I recommend using Desmos?
Answer:
It is (2, 2).
Step-by-step explanation:
Marcelo can select from 2 types of oranges and 3 types of peaches. If he randomly selects 1 orange and 1 peach, how many possible choices does he have? ___________ possible choices
Answer:
6 choices
Step-by-step explanation:
unidad de 1000 a Cuántos centímetros equivale
Find the equation of the line specified.
The slope is -7, and it passes through ( 5, -3).
a.
y = -7x - 3
c.
y = -14x + 32
b.
y = -7x + 32
d.
y = -7x - 38
What is the approximate area of this figure?
A. 25 cm
B. 31 cm
C. 38 cm
D. 42 cm
Answer:
I would say about B. 31 cm
Step-by-step explanation:
if you cut the shape into a triangle and a parallelogram, then you can easily guess that the other side of the square is about 4, and 4 x 4 is 16.. then you will multiply 8 by 4 and get 32 and then divide that by 2 and get 16 again, when you add both 16's together, you get 32, but 31 is closest
