Answer:
Insurance cost (last year)= £387.5
Step-by-step explanation:
Giving the following information:
Insurance cost= £465
Increase growth rate= 20% = 0.2
To calculate the cost of insurance last year, we need to use the following formula:
Insurance cost (last year)= insurance cost / (1 + insurance growth rate)
Insurance cost (last year)= 465 / (1 + 0.2)
Insurance cost (last year)= £387.5
The amount that Adele pay last year was:£387.5.
Car insurance:Using this formula
Amount paid= Insurance cost / (1 + Insurance growth rate percentage)
Where:
Insurance cost= £465
Increase growth rate percentage=20% or 0.20
Let plug in the formula
Amount paid= £465 / (1 + 0.20)
Amount paid= £465/1.20
Amount paid= £387.5
Inconclusion the amount that Adele pay last year was:£387.5.
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Here are five sums. Use the distributive property to write each sum as a product with two factors. 2+7 5−10 −2^2 +++ 2−1/2
Question:
Here are five sums. Use the distributive property to write each sum as a product with two factors.
[tex](a)\ 2a + 7a[/tex] [tex](b)\ 5z - 10[/tex] [tex](c)\ c - c^2[/tex] [tex](d)\ r + r+ r+ r[/tex] [tex](e)\ 2x - \frac{1}{2}[/tex]
Answer:
[tex](a)\ 2a + 7a = 9a[/tex]
[tex](b)\ 5z - 10 = 5(z - 2)[/tex]
[tex](c)\ c - c^2 = c(1 - c)[/tex]
[tex](d)\ r + r + r + r = 4r[/tex]
[tex](e)\ 2x - \frac{1}{2} = \frac{1}{2}(4x - 1)[/tex]
Step-by-step explanation:
Required
Apply distributive property
[tex](a)\ 2a + 7a[/tex]
Apply distributive property [Factor out a]
[tex]2a + 7a = a(2 + 7)[/tex]
[tex]2a + 7a = a(9)[/tex]
Open bracket
[tex]2a + 7a = a*9[/tex]
[tex]2a + 7a = 9a[/tex]
[tex](b)\ 5z - 10[/tex]
Express 10 as 5 * 2
[tex]5z - 10 = 5z - 5*2[/tex]
Apply distributive property [Factor out 5]
[tex]5z - 10 = 5(z - 2)[/tex]
[tex](c)\ c - c^2[/tex]
Express c as c * c
[tex]c - c^2 = c - c * c[/tex]
Apply distributive property [Factor out c]
[tex]c - c^2 = c(1 - c)[/tex]
[tex](d)\ r + r+ r+ r[/tex]
Express r as r * 1
[tex]r + r + r + r = r * 1 + r * 1 + r * 1 + r *1[/tex]
Apply distributive property [Factor out 1]
[tex]r + r + r + r = r(1+1+1+1)[/tex]
[tex]r + r + r + r = r * 4[/tex]
[tex]r + r + r + r = 4r[/tex]
[tex](e)\ 2x - \frac{1}{2}[/tex]
Express 2x as 4x/2
[tex]2x - \frac{1}{2} = \frac{4x}{2} - \frac{1}{2}[/tex]
Apply distributive property [Factor out 1/2]
[tex]2x - \frac{1}{2} = \frac{1}{2}(4x - 1)[/tex]
A deposit of $10,000 is made in a trust fund that pays 3.8% interest, compounbed quarterly. It is specified that the balance will be given to Abudu Charity after the money has earned interest for 40years. How much will the charity receive?
9514 1404 393
Answer:
$45,395.39
Step-by-step explanation:
The formula for an amount earning compound interest is ...
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years.
Using the given numbers, we have ...
A = $10,000(1 +0.038/4)^(4·40) ≈ $45,395.39
The charity will receive $45,395.39.
i need help what is x?
Answer:
square root of 109
Step-by-step explanation:
Use the Pythagorean Theorem to find x. The equation is a^2+b^2=c^2. In this case, a=3, b=10, and c=x. Plug that into the equation to get 9+100=c^2. Simplify that to get 109=c^2. Then divide each side by squared to get square root of 109=c.
Hope this helps
Jim and bill each invest $15,000 into savings accounts that earn 3.5% interest. Jims account earns simple interests and bills account earns compound interest. After 25 years, who will earn more interest and how much more will he earn.
Answer:
Bill will earn more interest
He will earn $ 20,448.67 from his investment
Step-by-step explanation:
Firstly let us calculate Jim's earnings based on simple interest
A = P(1 + rt)
Calculation:
First, converting R percent to r
a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
Solving our equation:
A = 15000(1 + (0.035 × 25)) = 28125
A = $28,125.00
The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 3.5% per year for 25 years is $28,125.00 for Jim
Now let's us calculate bill's investment based on compound interest
Equation
A = P(1 + r)^t
A=15000(1+0.035)^25
A=15000(1.035)^25
A=15000*2.36324498427
A = $ 35,448.67
We see that Bill will earn
$ 20,448.67 from his investment
Frank weighs 160 pounds and is on a diet to gain 2 pounds a week so that he can make the football team. John weighs 208 pounds and is on a diet to lose 3 pounds a week so that he can be on the wrestling team in a lower weight class. If Frank and John can meet these goals with their diets, when will they weigh the same, and how much will they weigh at that time? (Hint: Solve for x and y and make sure you write a complete sentence for an answer)
Answer: If Frank and John can meet these goals with their diets , they will weigh same after 9.6 weeks and they will weigh 179.2 pounds.
Step-by-step explanation:
Let x = Number of weeks.
As per given question ,
Weight of Frank after x weeks = 160+2x (pounds)
Weight of John after x weeks = 208-3x (pounds)
When Weight of Frank= Weight of John
Weight of Frank after 9.6 weeks = 160+2(9.6) = 179.2 pounds
Weight of John after 9.6 weeks = 208-3(9.6)=179.2 pounds
Hence, If Frank and John can meet these goals with their diets , they will weigh same after 9.6 weeks and they will weigh 179.2 pounds.
write an inequality to show the relationship between -3 and -7
Answer:
-3 > -7.
Step-by-step explanation:
-3 degrees is cold but its warmer ( higher) that -7 degrees.
-3 > -7.
Why shouldn’t you expect to take a year to pay off a credit card charge?
Does someone have an answer
Answer:
for what
Step-by-step explanation:
helo?
Answer:
x = $11
Step-by-step explanation:
5x = $55
9x = $99
2x = $22
In order to find the relationship between x and y, all we have to do is divide y by the term.
$55 ÷ 5 = 11
$99 ÷ 9 = 11
$22 ÷ 2 = 11
Therefore, each ticket sold is $11, or x = $11
Figure A is a scale image of Figure B.
Answer:
x = 5.4
Step-by-step explanation:
Corresponding sides are in proportion, that is
[tex]\frac{x}{7.2}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )
4x = 21.6 ( divide both sides by 4 )
x = 5.4
Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in the circle graph. Favorite Ice Cream Flavors Coffee 14% Chocolate 42% Strawberry 18% Vanilla How many more of Ursula’s classmates chose chocolate than chose vanilla?
Answer:
3
Step-by-step explanation:
Answer:
answer would be 3!
Step-by-step explanation:
view the problem, it could be adding or subtracting. your welcome! c:
Help As Soon As Possible .. Brainliest Will Be Given.
Answer:
b and d
Step-by-step explanation:
Answer:
b and d
Step-by-step explanation:
HELP ME I WILL BRAINLIST YOU
Answer:
A
Step-by-step explanation:
Because Im doing test corrections now :(
Help plssss I’m really bad at math and I have no clue what I’m doing <3333 also remember you can choose more than 1
Answer:11111
Step-by-step explanation:
1
what's the value of
[tex] = > 25 \times 386 + 3219 \div 2[/tex]
Answer:
11259.5Step-by-step explanation:
25 × 386 + 3219 ÷ 2 = 9650 + 1609.5 = 11259.5Answer:
11259.5
Step-by-step explanation:
25×386+3219÷2
Multiply 25 and 386 to get 9650.
9650+3219/2
Convert 9650 to fraction 19300/2.
19300/2+3219/2
Since 19300/2 and 3219/2 have the same denominator, add them by adding their numerators.
19300+3219/2
Add 19300 and 3219 to get 22519.
22519/2
Divide 22519 by 2 to get 11259.5.
11259.5
One half of one one hundredth is
Answer:
1/2 of 1/100 = 1/200
Step-by-step explanation:
find the unknown angle mesure
Answer: 1=65° and 5=43
Step-by-step explanation:
Question 1:
Angles on a straight line always add up to 180°.
So to find the angle of x on the first question you have to do 180-115=65°
You would have to use this method for questions 2, 3 and 4 as well.
Question 5:
Right angles always add up to 90° so to work out what x is you would have to do 90-47=43
You would have to use this method for questions 6, 7 and 8.
Hope this helps :)
Work out the value of x.
Answer:
x = 20
Step-by-step explanation:
2x + 7x = 180
9x = 180
x = 20
hii please help i’ll give brainliest
Answer:
The first one. 9/x
I just put this Question so- yea
Answer:
the answer is 70
Step-by-step explanation:
its simple just BASIC =D
but at least its a win win you got yo answer i got my points GOOD DaY
Answer:
1680 ÷ 40320 = 24
Step-by-step explanation:
you will get brianliest
Answer:
1.8
2.10
3.9
Step-by-step explanation:
LOl why are u asking this
Answer:
1 is 8
2 is 10
3 is 9
Step-by-step explanation:
basically ur dividing the fraction so its like if u cut parts of a singular slice of pizza
Independent = cups of milk poured Dependent = Milk left in the gallon jug Independent = Milk left in the gallon jug Dependent = cups of milk poured
Answer:
Independent = Milk left in the gallon jug
Dependent = cups of milk poured
Step-by-step explanation:
In an experiment or a research, a variable is defined as the thing or a phenomenon that you are trying to found out or measure. Variables can be independent variable as well as the dependent variable.
Independent variable is the variable that the researcher or the experimenter can change or manipulate in the research. This variable does not depend on others and thus stands alone. Its value can be change or altered to find the changes in the dependent variables. They are used as treatment variables.
Whereas, the dependent variables are those variables that are dependent on the values of the independent variables. It is considered as the effect of the independent variable. An independent variable is often manipulated to measure the outcome in the dependent variable.
In the context, the cups of milk poured is the dependent variable and the independent variable is the amount of milk left in the jug.
pls help for this question! no wrong answers pls
Answer:
41.29 cm²
Step-by-step explanation:
From the question,
Area of the shaded portion = Area of the circle - area of the square.
A' = πr²-L²...… Equation 1
Where A' = Area of the shade portion, r = radius of the circle, L = length of the square, π = pie
Given: r = 4 cm, L = 3 cm
Constant: π = 22/7.
Substitute these values into equation 1
A' = [(22/7)×4²]-3²
A' = 50.29-9
A' = 41.29 cm²
Hence the area of the shaded portion is 41.29 cm²
determine which expression are equivalent to the expression -p(q+r+5)
Answer:5p-+q+r
Step-by-step explanation:
How would you limit the domain to
make this function one to one?
f(x) = (x + 3)^2
Answer:
Domain would be x ≥ -3.
So enter -3.
Step-by-step explanation:
This is a parabola with line of symmetry x = -3.
When x has values like say -4 and -2, f(x) will have a value of 1 making the function many to one.
So, to make it one to one, x would have to be equal or greater than -3.
A function assigns values. The limit of the domain to make this function one to one is x≥3.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A one to one function is a function whose every input gives a distinct output. Now given the function is a quadratic function, therefore, the function will have the same output for multiple inputs.
Since the symmetrical axis for this function lies at x=-3, therefore, for the function to be one to one the domain of the function must be greater than or equal to 6.
Hence, the limit of the domain to make this function one to one is x≥3.
Learn more about Function:
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In a geometric sequence, the ratio between consecutive terms is?
what is the value of x in the equation 3(2x + 8) =0
Answer:
x=-4
Step-by-step explanation:
1. Distribute
3(2x+8)=0
6x+24=0
2. Subtract 24 from both sides.
6x+24=0
6x+24-24=0-24
3. Simplify
6x=-24
4. Divide both sides of the equation by the same term
6x=-24
[tex]\frac{6x}{6}[/tex] = [tex]\frac{-24}{6}[/tex]
5. Simplify
x=-4
And thats the answer.
I hope this helps :)
Find the median of the data.
35, 29, 21, 49, 13, 38, 40
Answer:
to sum it up put all of the numbers ers in order and it is the middle number
Answer:
13, 21, 29, (35) , 38, 40, 49
Step-by-step explanation:
The medium is the number in the middle in an assorted number line so do least from greatest and pick one out of the middle
PLEASE ANSWER FAST! What is the base of a 30-60-90 triangle with a height of 12 yd?
Answer:
side opposite 30° angle (shorter leg) = 6 cm
side opposite 60° angle (longer leg) = 6√3 cm
Step-by-step explanation:
I'm not 100% sure if this is right but if its wrong i am so sorry.
The perimeter of the square is 28 inches. Find the area of the shaded region, assuming that the curves are quarter arcs.
Answer:
Step-by-step explanation:
Yui makes a list of the balances in her savings account at the end of each month. She notices that each month's total is 5% greater than the previous moth's total. She writes a recursive formula to describe the account balances. Which value should she use as the common ratio
Answer:
the answer is C 1.05
Step-by-step explanation: