Answers
The time required to grow $5000 to $8300, if the rate of interest is 7.5 %, is 7 years.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The principal amount, p = $5000,
The amount, A = $8300
The rate of interest, r = 7.5 %,
Calculate the time as shown below,
[tex]A = p(1 + r / 400)^{4n}[/tex]
8300 = 5000 (1 + 7.5 / 400)⁴ⁿ
8300 / 5000 = (1 + 0.01875)⁴ⁿ
1.66 = (1.0188)⁴ⁿ
1.66 = (1.077)ⁿ
(1.077)⁷ = (1.077)ⁿ
n = 7
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Related Questions
Sketch a graph of X= –2
Answers
Answer:
It's just a vertical line extending in both directions for infinity at x=-2
Step-by-step explanation:
Graph is in ss
The population of a city is 100,000 and the annual growth rate is 4.2%. Write an equation to model the population y after x years.
Answers
Answer:4.2 times every 100000y=420000x for every year)
Step-by-step explanation:
Determine the coordinates of the y-intercept of the function shown in the graph.
A)
(0, -1)
B)
(2,0)
9
(0,2)
D)
(-1,0)
Includes the photo for the question
Answers
A lawn is shaped like a parallelogram with a base of 30 feet and a height of 12 feet. Covering the lawn with grass will cost $2.60 per square foot. How much money will it cost to cover the lawn with grass?
Answers
Answer:
$138.46
Step-by-step explanation:
30×12=360
360÷2.60=138.46
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 1 of 2: Suppose a sample of 1453 suspected criminals is drawn. Of these people, 377 were captured. Using the data, estimate the proportion of people who were caught after being on the 10 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answers
Answer:
The proportion of people who were caught after being on the 10 Most Wanted list is 0.259.
Step-by-step explanation:
Proportion of people who were caught after being on the 10 Most Wanted list.
Number of people caught divided by the size of the sample.
In this question:
377 people caught.
1453 suspected criminals.
Then
[tex]p = \frac{377}{1453} = 0.259[/tex]
The proportion of people who were caught after being on the 10 Most Wanted list is 0.259.
A right triangle has legs that are 21 in. and 25 in. long. What is the area of the triangle?
Answers
Answer:
The area of the right triangle is 262.5
Step-by-step explanation:
Each letter of the word "rainbow" has been written on a separate slip of paper and put into a box. Find the probability of selecting a slip of paper with a vowel on it, replacing it, then selecting the letter w?
Answers
Unit 11: Volume & Surface Area
Homework 1: Area of Plane Figures
Directions: Find the area of each figure. Round to the nearest hundredth where necessary.
2. and 11. all I need
will give brainliest if u get it right I promise
Answers
Answer:
I got 96.71ft 2 by doing it
It can be deduced that the area of the circle will be 26.42 feet.
How to calculate an area of a circle?It should be noted that the area of a circle is calculated by the formula:
= πr²
In this case, the radius is given as 2.9 feet. Therefore, the area of the circle will be:
= πr²
= 3.142 × 2.9²
= 26.42 feet
In conclusion, the area is 26.42 feet.
Learn more about circles on:
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It is believed that GPA (grade point average, based on a four point scale) should have a positive linear relationship with ACT scores. The Excel output from regressing GPA on ACT scores using a data set of 8 randomly chosen students from a Big Ten university gives R Square = 0.5774 The interpretation of the coefficient of determination in this regression is that
Answers
Options :
B) ACT scores account for 57.74% of the total fluctuation in GPA.
B) ACT scores account for 57.74% of the total fluctuation in GPA.
C) GPA accounts for 57.74% of the variability of ACT scores.
D) None of the above.
Answer:
B) ACT scores account for 57.74% of the total fluctuation in GPA.
Step-by-step explanation:
The R-squared value, called the Coefficient of determination gives the percentage or proportion of variation in the dependent variable which is due to or caused by the independent variable.
In the study above, the independent variable is the ACT score, is used to draw a regression relationship between the GPA of students, with GPA being the dependent variable.
The R² :value being 0.5774 means that (0.5774 * 100%) = 57. 74 % of variation in students GPA is caused by the regression line (independent variable which is the ACT SCORE).
HENCE, we can conclude that ACT Score is responsible of 57. 74 % variation in GPA while the remaining percentage is due to other factors.
A veterinarian in Camperville zoo needs to weigh the big bear. Which would be the most appropriate unit of measure?
A. meters
B. kilograms
C. liters
D. cups
Answers
Answer:
Kilograms
Step-by-step
A meter is distance
A kilogram is weight
A liter is related to ounces
A cup is how much of something
NO LINKS!!! Plz help this is due tmr
Answers
Answer:
Step-by-step explanation:
Consider the figure below in which 411122.
a b
cld
4
elf
12
gh
Select the angle(s) that are congruent to Zc.
Options
Answers
Answer:
its a and d
Step-by-step explanation:
5+6(2x-1)
i need this like now pls
Answers
Answer:
Step-by-step explanation:
5 + 6 = 11 x 2 - 1 = 21 therefore its 21
The refrigerator part of a refrigerator-freezer has a volume of 27 cubic feet.
The freezer part is 2 feet high, 2 feet deep and 3 feet wide.
What is the total volume of the refrigerator-freezer?
Answers
Answer:
39
Step-by-step explanation:
Which would be the best trend line for the given data set?
A) y=x+4
B) y=-x+4
C) y=-1/4x+2
D) 1/4x+2
Answers
Is this correct? Pls help me
Answers
Answer:
I Belive so
Step-by-step explanation:
please answer this thanks
Answers
Answer:
try using an online calculator, it might help
Solve the problem.
The area of a square is 81 square centimeters. If the same amount is added to one dimension and removed from the other, the resulting
rectangle has an area 9 square centimeters less than the area of the square. How much is added and subtracted?
A. 3cm
B. 9cm
C. 12 cm
D. 4cm
Answers
Answer:
c
Step-by-step explanation:
What is the slope of the line?
Answers
Answer:
m= 8/5
Step-by-step explanation:
Points on the graph: ( -4, -4) and (1, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4+4)/(1+4)
m= 8/5
Answer:
slope is 5/4
Step-by-step explanation:
to find slope, use the formula rise/run
helppppppppppppppppppppppppp
Answers
3+12+12+13
=40
Answer:
The perimeter of this figure is 40 milimeters.
Step-by-step explanation:
Add all sides' lengths:
3+ 12 + 12+ 13 = 40
The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the legendary champion, Byron Nelson. Ten randomly selected balls of two brands are tested and the overall distance measured. Assume the data are normally distributed. The data follow:
Brand 1 257 276 260 262 287 271 260 265 283 271
Brand 2 273 281 279 275 271 270 263 267 263 268
1) Is there evidence to show that there is a difference in the mean overall distance of brands? Use alpha = 0.05.
2) Calculate a 95% two-sided confidence interval on the difference in mean overall distance.
Answers
Answer:
1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.
2) The 95% CI is [-18.587; 1.01242]
Step-by-step explanation:
The given data is
Brand 1 257 276 260 262 287 271 260 265 283 271
Brand 2 273 281 279 275 271 270 263 267 263 268
Difference d -16 -5 -19 -13 -16 - 01 -3 -2 20 3 ∑ -98
d² 256 25 361 169 256 1 9 4 400 9 ∑1490
1) Let the hypotheses be
H0: ud= 0 against the claim Ha: ud ≠0
2) The degrees of freedom = n-1= 10-1= 9
3) The significance level is 0.05
4) The test statistic is
t= d`/sd/√n
5) The critical region is ║t║≤ t (0.025,9) = ±2.262
Calculations
6) d`= ∑di/n= -98/10= -9.8
Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]
= 1/9[1490-(-9.8)²/10] =1/9 [1490-9.604]= 164.4884
Sd= 12.825
Therefore
t= d`/ sd/√n
t= -9.8/ 12.825/√10
t= -0.764132/3.16227= -0.241640
7) Conclusion:
1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.
2) The confidence interval for the difference of two samples can be calculated by
d ` ± td sd/√n
Putting the values
-9.8 ±2.262* 12.825/√10
[-18.587; 1.01242]
The value of an autographed baseball card increased from $39 to $65 what is the percent increase in value of the baseball card?
Answers
:
The percent increase is found by finding the difference between the two prices and then dividing that different by the beginning price.
For this example it would be 65-39= $26. So $26/$39(the starting price) is 0.666... This is equivalent to about 66.67%. So, the price of the card increased by about 66.67%
Answer:
66.7%
Step-by-step explanation:
the value increased by 26
percentage increase =increase /initial value ×100
=26/39×100=66.7%
Which table shows ordered pairs that satisfy the function y = x + 1?
А
X
12
0
2
- 4
1
4
B
-2
0
2
5
0
5
С
X
y
5
-2
0
2.
1
5
D
x
y
-24
0 2
2 4
Answers
Answer:
Knowledge Check The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function. x y -1 6 0 12 1 1 24 2. 48 88 O х ? I Don't ...
Step-by-step explanation:
Pamela is 9 years younger than Jiri. The sum of their ages is 53. What is Jiri's age?
Answers
Answer: 44
Step-by-step explanation:53-9
Answer:
31
Step-by-step explanation:
Jiri's age = J
J + (J-9) = 53
2J - 9 = 53
2J = 62
J = 31
PLZ HELP i rlly need it i am not good a t algebra
Evaluate the following expressions when x = 5. Show your work.
Hint: Remember to use BEDMAS
My question: 2x+3
Answers
Answer:
13
Step-by-step explanation:
substitute the five into the equation. :)
What is the product of (6a + 7) (5a – 4)?
Answers
Answer:
30a²+11a−28
Step-by-step explanation:
(6a+7)(5a−4)
=(6a+7)(5a+−4)
=(6a)(5a) + (6a)(−4) + (7)(5a) + (7)(−4)
=30a² − 24a + 35a − 28
=30a² + 11a − 28
Hope I helped! (p.s. maybe brainliest answer)
Which statement is true?
CLEAR CHECK
All whole numbers are rational numbers.
All integers are whole numbers.
All rational numbers are integers.
None of the above
Answers
Answer:
c
Step-by-step explanation:
that's the answer sjakskkeieiidix
Need help please I will mark brainlist
Answers
Answer: C = 7.62
You can verify this answer using this calculator.
7^2 + 3^2 = 58
√58 = 7.62
Dan bought 5 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 46 cards left. How many cards did Dan start with ? show equation
Answers
Answer:
79
Step-by-step explanation:
Let's say that N is the number of cards.
So the first step is N+5, because dan bought 5 new cards.
Next his dog ate half the collection, so the 2nd piece of the problem is [tex]\frac{N+5}{2}[/tex]
The last step is to now make it an equation. Because there are now 46 cards left, [tex]\frac{N+5}{2}[/tex]=42.
Now solve for N which is N+5=84=> N=79
brainliest would be appreciated!
What is 5.5 divided by 1.68
WITH STEP BY STEP EXPLANATION
Answers
Steps:
Use a calculator
Press on 5.5
Then press the division sign
Press 1.68
Then press =