Answer:
2.5 years
Step-by-step explanation:
Amount= $8036
Principal= $7000
Rate =5.6%
t= ?
n= 2
A= P(1 + r/n)^nt
8036= 7000(1 + 0.028)^2t
1.148= (1 + 0.028)^2t
log(1.148) = log (1 + 0.028)^2t
0.05994= 2t × 0.01199
t= 2.5 years
It will take t = 2.5 years for the account to grow to $8036.
Given that,
Total saving amount = $7000
Annual rate = 5.6% = 0.056
We have to determine,
Assuming that no withdrawals are made, how long will it take for the account to grow to $8036.
According to the question,
Amount = $8036
Principal = $7000
Rate = 0.056
n = 2
To find the value of time t calculation done in single unit,
[tex]A = P (1+ \frac{r}{n} )^{nt} \\\\8036 = 7000 (1+\frac{0.056}{2})^{2t} \\\\\frac{8036}{7000} = (1+0.028})^{2t} \\\\1.148 = (1+0.028)^{2t} \\\\[/tex]
Taking log on both sides,
[tex]log(1.148) = log(1+0.028)^{2} \\\\0.0599 = 2t\times0.0119\\\\\frac{0.599}{0.022} = t\\\\t = 2.5 years[/tex]
Hence, It will take t = 2.5 years for the account to grow to $8036.
To know more about Division click the link given below.
https://brainly.com/question/20648334
What is the slope of the graph of
4x + 3y = 15?
Answer:
-4/3
Step-by-step explanation:
y=mx+b
3y=-4x+15
y= -4/3 x +5
m is slope b is y intercept
BRANDI WANTS TO CALCULATE THE AVERAGE SPEED
OF A CAR THAT TRAVELED 275 MILES IN THREE
HOURS. WHICH FORMULA BELOW IS CORRECT?
A. S = 3 x 275
B. S = 3/275
C. S = 275/3
D. S = 3-275
MISTER SCIENCE
Answer:
C. S = 275/3
Step-by-step explanation:
The formula for speed is S = d/t
The d is = 275
The t is = 3
So S = 275/3
Hope this helps ya!!
Nineteen less than four times a number is greater than forty-seven.
Please i will give away all my points to the person that answers this in number form thanks
Answer: pretty sure it's the number you multiply by 4 is 17
Step-by-step explanation:
when you multiply 4 and 16 you'll get 64 then you subtract 19 and get 45 which is less than 47 so by reasoning if you were to multiply 4 and 17 you'll get 68 then you subtract 19 from 68 and you should get 49 ( you didn't include how much greater than 47 the number should be but the safest bet would be to use 17)
Goodd Luck!
llllllllllaa
Answer:
Step-by-step explanation:
Positive integers = 2 5 8 11 13 28
Negative integers = - 3 - 7 - 9 - 11
The integer that's troubling her the most is 0 because zero is defined as neither positive nor negative
this is for fun type as many Christmas songs as you can below my fav will get brainiest you will get 10 points as well.
Answer:
"as many Christmas songs as you can below my fav will get brainliest you will get 10 points as well."
Step-by-step explanation:
I typed it.
Answer: um all I want for Christmas and jingle bells.
Step-by-step explanation: make me brainest
Which is smaller, one-ninth of 54 or one-fourth of 36?
Answer:
one-ninth of 54
Step-by-step explanation
54*1/9=6
36*1/4=9
Answer:
1/9 of 54 is smaller than 1/4 of 36
Step-by-step explanation:
1/9 of 54 is 54/9 and that is 6
1/4 of 36 is 36/4 and that is 9.
Please mark brainliest
2x + 6y - 3z + 5 - 11(4x - 8y) + 6z - 1
Answer:
-42x+94y+3z-4
Step-by-step explanation:
2x+6y-3z+5-44x+88y+6z-1
please help me with this please
Find the measure of angle A.
Answer:
60 degrees sorry if its wrong
Step-by-step explanation:
A market research company wishes to know how many energy drinks teenagers drink each week. They want to construct a 80% confidence interval with an error of no more than 0.08. A consultant has informed them that a previous study found the mean to be 7.3 energy drinks per week and found the standard deviation to be 0.7. What is the minimum sample size required to create the specified confidence interval
Answer: 126 samples
Step-by-step explanation:
Given that :
Standard deviation (σ) = 0.7
Mean (m) = 7.3
Error (E) = 0.08
α = 80%
The sample size n can be obtained using the relation :
n = [(Zcrit * standard deviation) / Error]^2
The Zcritical at 80% = 1.282
Hence,
n = ((1.282 * 0.7) / 0.08)^2
n = (0.8974 / 0.08)^2
n = 11.2175^2
n = 125.83230625
n = 126
How do I solve this?
Answer:
The answer is 7.5
Step-by-step explanation:
3x+18=9x−27
3x+18−9x=9x−27−9x
−6x+18=−27
−6x+18−18=−27−18
−6x=−45
−6x /−6 = −45 /−6
x = 15 /2 which is equal to 7.5 as a decimal.
Will mark the brainliest
in general the value measured by the vertical axis is called the _____ variable
Answer:
Dependent
Step-by-step explanation:
in general the value measured by the vertical axis is called the DEPENDENT variable.
31.8 dived 0.58 answer
Answer:
54.8275862069
Step-by-step explanation:
If you want rounded than 54
in 2017, the price of a Forever stamp from the United States Postal Service was $0.49. How many Forever stamps could be purchased for $30.38?
( Mathematical sentences can describe real-world problems. Note the following inequalities and real-world problems. Write either the inequality or real-world problem that corresponds to the given information. Do not simplify any inequalities.
(a) Real-World Problem: Toy cars cost c dollars. Stan had $3. He purchased 3 toy cars with his money. Frank had $6. He purchased 8 toy cars with his money. After their purchases, Stan had more money than Frank
Inequality:
(b) Inequality: 3x + 2 < 2x + 10
Real-World Problem:
Answer:
Mathematical sentences can describe real-world problems. Note the following inequalities and real-world problems. Write either the inequality or real-world problem that corresponds to the given information. Do not simplify any inequalities.
(a) Real-World Problem: Toy cars cost c dollars. Stan had $3. He purchased 3 toy cars with his money. Frank had $6. He purchased 8 toy cars with his money. After their purchases, Stan had more money than Frank
Inequality:
(b) Inequality: 3x + 2 < 2x + 10
Which statement correctly compares -9 and 2?
Answer:
-9<2 is a correct comparison
Write an equation of the line passing through point P(3,8) that is parallel to the line y
= 1/5 (x+4)
Answer:
y=1/5(x+37)
Step-by-step explanation:
y=1/5x+4/5
Plug in the (3,8)
8=1/5(3)+b
8=3/5+b
7 2/5=b
y=1/5(x+37)
The equation of the line is y = 1/5(x + 37)
Since our new line is parallel to the line y = 1/5(x + 4), and 1/5 is the gradient of the line y = 1/5(x + 4), the gradient of the new line is 1/5.
Using the equation of a line in slope-point form, [tex]\frac{y - y_{1} }{x - x_{1} } = m[/tex] where (x₁, y₁) = (3, 8) and m = 1/5
Substituting the values of the variables into the equation, we have
[tex]\frac{y - y_{1} }{x - x_{1} } = m[/tex]
[tex]\frac{y - 8 }{x - 3 } = \frac{1}{5}[/tex]
Cross-multiplying. we have
5(y - 8) = x - 3
Expanding the bracket, we have
5y - 40 = x - 3
5y = x - 3 + 40
5y = x + 37
y = 1/5(x + 37)
So, the equation of the line is y = 1/5(x + 37)
Learn more about equation of a line here:
https://brainly.com/question/15587122
Samira used the calculator to find 254.3 × 2.5. Which statement best describes her work? Samira is correct. Samira is incorrect. The calculator should not give an answer that includes a decimal point. Samira is incorrect. The correct answer should only be about twice as much as 254.3, and the number on the screen is much larger. Samira is incorrect. The answer on the screen is not large enough to be the correct answer.
Answer:
A samira is correct
Step-by-step explanation:
Because she did her own expression right, now she has to solve
Answer:
the answer is c
Step-by-step explanation:
I used a caculator
What is the predicted value of fuel efficiency (in miles per gallon) for a car with a 2.5 cubic liters engine? Round your answer to two decimals, if needed.
Answer:
25.92
Step-by-step explanation:
Fuel efficiency is the measure or effort that is required to convert the chemical energy in the fuel to the kinetic energy which the cars needs to move. It is meant by how good or effectively the fuel is utilized by the vehicle. It is the ability of the engine to extract more energy from the fuel.
In the context, the size of the engine is 2.5 cubic liters. Then the predicted value of the fuel efficiency will be 25.92 miles per gallon.
30 is 2/3 of what number
Answer:45
Step-by-step explanation:
Key Word:of
30*2/3 = 45
Answer:
Step-by-step explanation:
let the number be x.
then,
2/3 of x = 30
=> 2/3x = 30
=> x = 30 × 3/2
=> x = 45
so, the required number is 45 .
hope it helps...!!!
20 Points!!! Lisa writes 15 pages of a research paper. If she has written 75% of her goal, what is the total number of pages that she wants to write?
Answer:
I believe that her goal is 20 pages because 75% of 20 is 15.
Step-by-step explanation:
I need help again please
Answer:
I think it's the third one.
Answer:
C
Step-by-step explanation:
Betsy has to sell carnival tickets worth at least $60. The price of a child ticket is $5, and the price of an adult ticket is $8. Let x be the number of child tickets sold and y be the number of adult tickets sold. which of the following graphs best models this situation.
A) 5x+8y
[tex] \geqslant [/tex]
60
B) 5x+8y
[tex] \leqslant [/tex]
60
C) 5x+8y
[tex] < [/tex]
60
D) 5x+8y
[tex] > [/tex]
60
Answer:
A) 5x + 8y [tex]\geq[/tex] 60
Step-by-step explanation:
"At least" translates to the inequality symbol [tex]\geq[/tex] or "greater than or equal to."
Please answer quick.
Answer:
e
Step-by-step explanation:
Jon's last paycheck was $342.58. If he worked
35.5 hours, how much does he get paid per hour?
I need the answer to this question how much does he get paid per hour?
the shadow of a 100 m long vertical pole is of 20 m then what will be the angle of inclination round the answer to the nearest tenth of a degree
Answer:54.23 m
Step-by-step explanation:I’m not sure this is even close to being right but I tried
The first 5 terms of a sequence are shown below:
3, -2, -7, -12, -17
Which expression can be used to find the nth term?
Answer:
c: -7
Step-by-step explanation:
1 1/3 divided by 3/4
Answer:
1 7/9
Step-by-step explanation:
Could i have branliest please and a heart
Step-by-step explanation:
11/ 36
hope it helps!
.....
write an equation of the line that passes through 4,-2 and is parallel to y=-4x+1
Answer:
y=-4x+14
Step-by-step explanation:
A parallel line must always have the same slope, so it must be -4x, and on a graph y=-4x+14 passes through the point (4,-2)
