Answer:
t=18.7
Step-by-step explanation:
After 19.2 year the account reach $45,600.
What is Interest?The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.
We have,
P =$16, 000
R= 5.6%
Future value = $45, 600.
Now, using
16,000 (1 + 5.6%[tex])^x[/tex] = 45,600
(1 + 5.6%[tex])^x[/tex] = 2.85
Taking log on both side we get
x log (1.056) = log (2.85)
x= 19.2
Thus, the time taken is 19.2 years.
Learn more about Interest here:
https://brainly.com/question/22739288
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Need help please asap
Answer:
A
Step-by-step explanation:
The ordered pair (3,9) is a solution to the following system of equations.
y = x + 6
y = 2x + 3
A) True
B) False
How can you diffrentiate "less" and "less than"? Can these terms be used in mathematics? How?
Solve the equation for x. x^2 = 900
Answer:
x = 30, -30
Step-by-step explanation:
Stacy spent £20 on ingredients for bread.
She made 18 loaves and sold them for £1.40 each.
Calculate her percentage profit.
Answer:
Stacy made £25.2 from the 18 loaves of bread. So She made £5.20 as a profit.
Step-by-step explanation:
18 loaves of bread × £1.4 = £25.2 Round it up = £25
£25.20 - £20 = £5.20 Round it up = £5
Stacy Made about £5 as profit.
Which of the following is an improper integral?
A) the integral from 0 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
B) the integral from 1 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
C) the integral from negative 1 to 0 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
D) None of these
Answer:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
General Formulas and Concepts:
Calculus
Discontinuities
Removable (Hole) Jump Infinite (Asymptote)Integration
IntegralsDefinite IntegralsIntegration Constant CImproper IntegralsStep-by-step explanation:
Let's define our answer choices:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
B) [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]
C) [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]
D) None of these
We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.
Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.
∴ our answer is A.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
x
X
You put $1200 into an investment yielding 11%
annual interest; you left the money in for two
years. How much interest do you get at the end
of those two years?
Answer:
$1864
Step-by-step explanation:
11% of 1200=132
132×2(years)=264
1200+264=1864
Write an equation of the line that passes through (-1, – 4) and is perpendicular to the line y = (3/4)x -2
Step-by-step explanation:
The equation of the line is given above
Select the correct answer.
The slope of the function on the left is multiplied by p, and is added to the yIntercept to arrive at the function on the right. Which of the
following are the values for p and q?
A. p = -2 and q = -2
В. p=-2 and q = -4
C. P = 2 and q = -3
D. P = -2 and q = -3
Answer:
p = -2
q = -3
Step-by-step explanation:
Let us get the equation of the two graphs
General equation form is;
y = mx + b
m is slope and b is the y-intercept
For the first one;
y intercept is 1
So the equation is;
y = mx + 1
The x-intercept is -2
the value of y at the x-intercept is 0
0 = -2m + 1
1 = 2m
m = 1/2
so;
1/2 * p
p/2
q added to y-intercept;
q + 1
Let us get the equation of the second plot
y-intercept is -2
Equation is;
y = mx - 2
We can get slope using x-intercept
x-intercept is -2
0 = -2m - 2
2m = -2
m = -1
So;
p/2 = -1
p = 2 * -1 = -2
For the value of q;
q + 1 = -2
q = -2-1 = -3
Set up a proportion to solve for x.
A 18
B) 9
C) 4.2
D) 3
HELPP
Can someone please help? I need to get this doe so I can do something important
Answer:
9. 4/1 or 4. 10. 0
Step-by-step explanation:
9.
Slope- y2-y1/x2-x1
11-7/4-3= 4/1 or 4
10.
Slope-y2-y1/x2-x1
7-7/5-0= 0/5
When 0 is the numerator of the slope, then the slope is 0.
Seems easy but this has my brain hurting.
Answer:
E and D
Step-by-step explanation:
Just make a mental line which these letters connect to each other.
Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply
Answer:
A. the domain is all real numbers. and
B.the y-intercept is 3
HELP!!!!! 50 POINTS!!
Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7)
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
(Picture in file below)
Please help me out on this one please thank hope y’all are safe love you all
I NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO CORRECT ANSWER!!!
A.) SU = 22 cm
B.) SU > 22 cm
C.) There is not enough information to determine the relative length.
D.) SU < 22 cm
Answer:
SU < 22 cm
Step-by-step explanation:
7
2
2 2 3
8
0
58
9
3 7
10
0
Answer:
Wut...?
Step-by-step explanation:
1 2 ÷ 3 2 1 ÷3 need help lol
Answer:
0.012461059
Step-by-step explanation:
Answer:
g00gle says 0.01246105919
Step-by-step explanation:
Erica is a police officer. She earns $24 an hour. Sometimes she works extra shifts and earns time and a half for each hour she works over 40. Erica is paid biweekly. Last week she worked 44 hours and this week she worked 52 hours. Calculate Erica's Gross Pay
Answer:
Gross pay = $2496
Step-by-step explanation:
Erica earns $24 an hour. She works extra shifts and earns time and a half for each hour.
Her extra earning starts over 40 hours.
Therefore, her extra earning above 40 hours = 1.5 × 24
= $36 per hour
She worked for 44 hours in last week, her total earnings for last week
= (40 × $24) + (4 × $36)
= 960 + 144
= $1104
She worked for 52 hours this week, her total earnings for this week
= (40 × $24) + (12 × $36)
= 960 + 432
= $1392
Since, Erica was paid biweekly,
Her gross income = $1104 + $1392
= $2496
How to write the question using the follow sentence
Will mark Brainliest
Answer:
3(x+2) - 5
Step-by-step explanation:
John and his friend ordered lunch at a local sandwich shop. They each ordered a soft drink that costs $1.65. John orders a whole ham sandwich and his friend ordered half of a ham sandwich. Their total bill is $12.54. What equation can you use to find the cost c of a sandwich, and what is the value of c
Answer:
a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26
Step-by-step explanation:
a. What equation can you use to find the cost c of a sandwich
Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich + cost of a whole ham sandwich.
total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,
$12.54 = $ 1.65 + c/2 + c
b. What is the value of c
We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c
collecting like terms, we have
$12.54 - $ 1.65 = c/2 + c
$ 10.89 = 3c/2
multiplying through by 2, we have
$ 10.89 × 2 = 3c
$ 21.78 = 3c
dividing through by 3, we have
c = $ 21.78/3
= $ 7.26
Rewrite the inequality with zero on one side and one rational expression on teh other. 3/x+2+4>3 what is the first step
Answer:
Add –3 to both sides
Step-by-step explanation:
edge 2021
daily wages of a factory workers are recorded as
C.I
12-126 127-132. 133-138. 139-144
Freq.
5. . 27. 20. 18
the lower limit of model class is. [. ]
a) 127
b 126
c) 126. 5
d) 133
Answer:
I think the answer is c I hope it helps I not a 100 percent
Answer:
*the hero (me) enters into the battlefield*
Step-by-step explanation:
i am here to fight sharon she is given time for surrender or be get defeated by me !!!!
uk u can never winnnn with me
HELP NOW URGENT PLEASE!!
Last month you spent $30 on clothing. This month you spent 140% of what you spent last month. How much did you spend this month?
Answer:
42
Step-by-step explanation:
Answer: you spent 63
Step-by-step explanation:
Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?
Answer:
140 miles
Step-by-step explanation:
10/2.5=44 gallons + 1 gallon= 5 gallons28 miles per gallon28*5 or 28+28+28+28+28=140
Fill the empty slots by dragging tiles from the left to show the Solve the two-step equation and identify the steps.
next step for solving the equation.
Solve the two-step equation and identify the steps. 2= -7/4+1/4x
1.______ 7/4 to both sides.
2.______ by 4
The solution is X =_____
Answer: 1. Add 2. Multiple both sides 3. 15
Step-by-step explanation: hope this helps
Answer: 2 = − 7
4
+ 1
4
x
1.
✔ Add
Start Fraction 7 over 4 End Fraction to both sides.
2.
✔ Multiply both sides
by 4.
The solution is x =
✔ 15
.
Step-by-step explanation: i just did it on ed
Use the Distributive Property to expand this expression.
z(–6.4 – 3.5x)
Answer:
[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]
Hence, Option 'C' is true.
Step-by-step explanation:
Given the expression
[tex]z\left(-6.4\:-3.5x\right)[/tex]
Apply distributive law: [tex]a\left(b-c\right)=ab-ac[/tex]
Here: [tex]a=z,\:b=-6.4,\:c=3.5x[/tex]
so the expression becomes
[tex]z\left(-6.4\:-3.5x\right)=z\left(-6.4\right)-z\cdot \:\:3.5x[/tex]
[tex]=-6.4z-3.5zx[/tex] ∵ [tex]+\left(-a\right)=-a[/tex]
Therefore,
[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]
Hence, option 'C' is true.
2.) Mackenzie uses 1/5 of a cup of sugar for 1/3 of a gallon of lemonade.
How many cups of sugar would she need for a whole gallon of lemonade?*
Answer:
3/5 cups of sugar
Step-by-step explanation:
If 1/5 of a cup of sugar is used for 1/3 of a gallon of lemonade, 1/5 of a cup will be used in each of the overall three thirds of a gallon.
Answer:
3/5 cup of sugar good luck
Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1
Answer: a and c are polynomials, b is not.
Step-by-step explanation:
A polynomial p(x) is written as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰
where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.
Notice that the powers need to be always natural numbers.
Now, let's analyze the options:
a) 3*x - 2
We can rewrite this as:
3*x¹ - 2*x⁰
Then this is a polynomial.
b) p² + 1/p (in this case the variable is p)
the second term can be written as:
1/p = p⁻¹
Then we have a term with a negative power of p, this means that this is not a polynomial.
c) 3*y² - 2*y/3 + 1
Same as in the first case, we can rewrite this as:
3*y² - (2/3)*y¹ + 1*y⁰
This is a polynomial.
solve the equation 7( 4+p) = 28
P=0
P=8
P=7
Answer:
Step-by-step explanation:
1: 7(4+0)=28
7(4)=28
28=28
this is correct
Answer:
p=0
1) use distributive property
7*4+7p=28
28+7p=28... solve for p
7p=28-28
7p=0... divide both sides by 7 to find p
p=0