11. You have $200 and wish to buy a computer. You find an investment that increases
by 0.6% each month, and you put your $200 into the account. When will the
account enable you to purchase a computer costing $500?
Answer:
I’m not a hundred percent it’s correct
Step-by-step explanation:
I used the online book to get the answer.
Hope this helps
Using an exponential equation, it is found that the account will enable the person to purchase the computer after 153 months.
An exponential equation of increase is modeled by:
[tex]A(n) = A(0)(1 + r)^n[/tex]
In which
A(0) is the initial value.r is the rate of increase, as a decimal.In this problem:
$200 put into the account, thus [tex]A(0) = 200[/tex].Increases 0.6% each month, thus [tex]r = 0.006[/tex].Then:
[tex]A(n) = A(0)(1 + r)^n[/tex]
[tex]A(n) = 200(1 + 0.006)^n[/tex]
[tex]A(n) = 200(1.006)^n[/tex]
You need $500 to purchase the computer, then:
[tex]A(n) = 200(1.006)^n[/tex]
[tex]500 = 200(1.006)^n[/tex]
[tex](1.006)^n = \frac{500}{200}[/tex]
[tex](1.006)^n = 2.5[/tex]
[tex]\log{(1.006)^n} = \log{2.5}[/tex]
[tex]n\log{1.006} = \log{2.5}[/tex]
[tex]n = \frac{\log{2.5}}{\log{1.006}}[/tex]
[tex]n = 153[/tex]
The account will enable you to purchase a computer after 153 months.
A similar problem is given at https://brainly.com/question/14773454
At the city museum, child admission is $5.20 and adult admission is $9.20. On Friday, 157 tickets were sold for a total sales of $1068.40. How many adult tickets were sold that day?
Solve
5k+6=7 for x
please I need it quick and fast
Marty drew a model of the school library. The total area of the floor is 132 square
centimeters. What is the area of the shaded part of the model shown below?
10 centimeters
6 centimeters
Answer:
Step-by-step explanatio11n:
116
Is - 6/5 rational or irrational?
Answer:
lt is rational number .
MATH please heeeeeeelp
Step-by-step explanation:
Its additive inverse!
When using the power rule, the original coefficient:__________a) Is multiplied by the original exponent.b) Only changes if the function is in terms of x.c) Is ignored
Answer:
a) Is multiplied by the original exponent.
Step-by-step explanation:
the power rule works like this:
you want to find the derivative of ax ⁿ
where n is the exponent and a is the coefficient
the derivative would equal (n ⋅ a)xⁿ⁻¹
e.g. you want to find the derivatives of 5x⁴
f'(x) = (4 ⋅ 5)x⁴⁻¹ = 20x³
f''(x) = (3 ⋅ 20)x³⁻¹ = 60x²
f'''(x) = (2 ⋅ 60)x²⁻¹ = 120x
f''''(x) = (1 ⋅ 120)x¹⁻¹ = 120
solve for x 4 - (x + 2) < -3(x + 4)
in 4 - (x + 2) < -3(x + 4), x < -7
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x<-7
Step-by-step explanation:
Use inverse operations to solve
4 - ( x + 2 ) < -3 ( x+ 4)
first distribute the (-) sign and the (-3)
4 -x -2 < -3x -12
simplify
2 -x < -3x -12
simplify again, with inverse operations
2 -x < -3x -12
+3x +3x
2 + 2x < -12
-2 -2
2x < -14
/2 /2
x<-7
Jasmine knows that the area of a rectangle is the product of its base and height. Help her write an expression that represents the area of this rectangle, and then use the expression to find the area when b = 10. Select the correct answer from each drop-down menu. The expression that represents the area of this rectangle is . When b = 10, the area of the rectangle is square units.
Answer:
8b and 80
Step-by-step explanation:
Answer:
The expression that represents the area of this rectangle is 8b
When b = 10, the area of the rectangle is 80 square units.
Step-by-step explanation:
what is 2/3 + 1/2 equal?
Answer: To add fractions, find the LCD and then combine.
Exact Form:
7 /6
\( ̄︶ ̄*\)) Hope this helps!!
Answer:
7/6
Step-by-step explanation:
2/3+1/2
4/6+3/6
4+3/6
7/6
(15.x + 79)
(5x + 61)
Answer:
A) 15x +79 = z
B) 15x +79 + 5x + 61 = 180
20x + 140 = 180
20x = 40
x = 2
Then using equation A)
A) 15 * 2 + 79 = z
30 + 79 =z
z = 109
Step-by-step explanation:
Look at the table showing prices of different items at a grocery store.
Items for Sale
Watermelons
$14.97 for 3
Boxes of Cereal
$15.80 for 4
Bags of Pretzels
$10.77 for 3
Ice Cream
$18.36 for 4
Which items cost less than $3.99 per item?
O boxes of cereal and bags of pretzels
O ice cream and watermelons
O bags of pretzels and watermelons
watermelons and boxes of cereal
Answer:
boxes of cereal and bags of pretzels
Step-by-step explanation:
I just took the test :)
Answer:
A Box of cereal and pretzels
Step-by-step explanation:
The unit price for each is under 3.99 per item.
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3?
2
9
12
36
Using this linear inequality: 10C + 4 > 2C
Explain how to solve the inequality use both English and Math Sentences in your explanation, and how complete your explanation is.
Answer:
C > –½
Step-by-step explanation:
10C + 4 > 2C
The above inequality can be solved as follow:
10C + 4 > 2C
Collect like terms
4 > 2C – 10C
4 > – 8C
Divide both side by –8
Note: the inequality sign will change since we are dividing by a negative value.
4/ –8 < –8C/ –8
– ½ < C
Thus,
C > –½
Please help quick !!!!!! Simplify 6(x + 4).
Answer:
6(x + 4)
opening brackets
=6x+24 is the answer
Step-by-step explanation:
Your laptop died and you need a new one for work NOW! The one you need will cost $500. You do not have the cash in your checking account, so you decide to borrow the money from your savings account. You have $9,000 in your savings account gaining 3% interest per year. If you don't replace the $500 in the savings account, how long will it take before the balance again reaches $9,000?
Answer:
2 years
Step-by-step explanation:
If you have $9000 in the saving account, and you take $500, you are left with:
$9000 - $500 = $8500
in one year you will have 3% more of the 8500 which is:
8500/100*3 = $255
so in one year the number on your savings account is:
8500 + 255 = $8755
and by the next year you will have 3% more of the 8755 which is:
8755/100*3 = $262.65
so in two years the number on your savings account is:
8755 + 262.65 = $9017.65
which is a little bit more than the $9000.
so it will take 2 years until the calance again reaches $9000
Please mark braniliest if this reaches 2 answers because I want to get to Expert ;w;
Question 4
Subtract.
-20 - 10
Help:(
Answer:
-20 - 10 = -30
Answer: -30
Step-by-step explanation: basically -20 + -10 = -30
7. Identify the explicit formula for the sequence given by the recursive formula
Answer: B) f(n) = 30 - 8(n - 1)
Step-by-step explanation:
Explicit formula is of the form: [tex]a_n=a_1+d(n-1)[/tex] where
[tex]a_1[/tex] is the first term d is the difference between consecutive termsGiven: f(1) = 30 --> this represents the first term [tex]a_1[/tex] = 30
f(n - 1) - 8 --> this means the previous term minus 8 thus d = -8
[tex]a_n[/tex] = 30 + (-8)(n - 1)
= 30 - 8(n - 1)
Answer:
B. f(n) = 30 – 8(n – 1)
Step-by-step explanation:
got it right on test
a rectangular with a perimeter of 32 cm has a base of x-3 cm and a height of 2x+7 cm what are the length in cm of the rectangle base an height
Answer:
Step-by-step explanation:
Perimeter = 32
length = x - 3
width = 2x + 7
Perimeter = 2* Length + 2* width
Perimeter = 2*(x-3) + 2(2x + 7) = 32 Remove the brackets.
2x - 6 + 4x + 14 = 32 Combine
6x + 8 = 32 Subtract 1 from both sides
6x = 32 - 8
6x = 24 Divide by 6
x = 24/6
x = 4
So the base = x - 3 = 4 - 3 = 1
The height = 2*4 + 7 = 8 + 7 = 15
Find the value of x in the proportion 8/9 = x/36
6x+3=38-x
help please
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]6x+3=38-x[/tex]
Subtract 3 from both sides:
[tex]6x+3-3=38-x-3[/tex]
[tex]6x=-x+35[/tex]
Add x to both sides:
[tex]6x+x=-x+35+x[/tex]
[tex]7x=35[/tex]
Divide 7 on both sides:
[tex]\frac{7x}{7}=\frac{35}{7}[/tex]
[tex]x=5[/tex]
I don't understand this
Answer:
tytytytyt
Step-by-step explanation:
Answer:
i don't either
Step-by-step explanation:
Suppose we want a 99% confidence interval for the average amount spent on books by freshmen in their first year at college. The amount spent has a normal distribution with standard deviation $34. (a) How large should the sample be to guarantee the margin of error will be no more than $3?(b) If we wanted a smaller margin of error, we would need a sample. (Enter: ''LARGER'', ''SMALLER'' or ''SAME SIZE'', without the quotes.)
Answer:
a) 855
b) We would need a Larger sample.
Step-by-step explanation:
(a) How large should the sample be to guarantee the margin of error will be no more than $3?
The formula for Margin of Error = z × Standard deviation/√sample size
z = z score of 99% confidence interval = 2.58
Standard deviation = $34
Sample size = n = unknown
Margin of Error = $3
√n = z × Standard deviation/Margin of Error
Square both sides
n = (z × standard deviation/Margin of Error)²
n =( 2.58 ×34/ 3)²
n = (29.24)²
n = 854.9776
Approximately, the size of the sample be to guarantee the margin of error will be no more than $3 is 855
(b) If we wanted a smaller margin of error, we would need a sample. (Enter: ''LARGER'', ''SMALLER'' or ''SAME SIZE'', without the quotes.)
We would need a Larger sample.
This is because, the larger the sample, the smaller the margin of Emerror and the smaller the sample, the larger the margin of error. Therefore, for the question b, we would be needing a larger sample.
Please help!! What is the quotient??
Simplify each. (-2)(-5/6)
Answer:
5/3
Positive 5 over 3
Step-by-step explanation:
(-2)(-5/6)
10/6
5/3
Which of the x-values are solutions to the following inequality
Find the distance between the points (-3,-6) and (-3,-2)
Answer:
The answer is
4 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,-6) and (-3,-2)
The distance is
[tex]d = \sqrt{( { - 3 + 3})^{2} + ({ - 6 + 2})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
4 unitsHope this helps you
Joe borrowed $8,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 3 years?
Answer:
$1680
Step-by-step explanation:
make use of the simple interest formula:
PRT/100
P is the principle ($8000)
R is the rate of interest (7%)
T is the time (3)
= 8000*7*3 / 100
1680
A car is traveling down a highway at a constant speed, described by the equation d=65t, where d represents the distance, in miles, that the car travels at this speed in t hours. How many miles does the car travel in 1.5 hours?
Answer:
A car is traveling down a highway at a constant speed, described by the equation d = 65t, where d represents the distance, in miles, that the car travels - 1138… ... How many miles does it take the car to travel 26 miles at this speed? c. ... the distance, in miles, that the car travels at this speed in t hours.
Step-by-step explanation:
Hope this helps
Three students from a 16 student class will be selected to attend a meeting. 6 of the students are female
I think you want 8/3 or 2.666666 or mabye 37%