Answer:
£395
Step-by-step explanation:
call out fee = 35
30 per hour = 2 hour to be = 60
but, 12 minutes in hour = 12/60 = 0.2
0.2 = 0.2*30 = 6
2 hours and 12 minutes would be charges as
30 + 6 = 36
36*10 = 360
call out fee + per hour = 35 + 360 = 395
Mary has $65,000 to invest into two accounts. The first account is a private savings offering 6% annual interest and the second account is a government savings account offering 4% annual interest. How much money should Mary invest in each account to make $3,520 in total interest.
Answer:
Step-by-step explanation:
Formula for calculating interest is expressed as;
I = PRT/100
P is principal
R is the rate
T is the time
For first account
I = P(1)(6)/100
I1 = 0.06P1
For the second bank!
I2 =>P2(1)(4)/100
I2 = 0.04P2
If the total interest is $3520, then
I1+I2 = 3520
0.06P1+0.04P2 = 3520.... 1
If the Amount invested = $65000
P1+P2 =65000..... 2
Solve. 1 and 2 simultaneously
Eqn 2 × 0.06
0.06P1+0.06P2 = 3900.... 3
Subtract 1 from 3;
0.04P2-0.06P2 = 3520-3900
-0.02P2 = -380
P2 = 380/0.02
P2 = $19000
Get p1;
P1 = 65000-P2
P1 = 65000-19000
P1 = $46000
Hence $46000 was invested in the first account and $19000 in the second
Rita plans to make a call using a calling card. For each call, Rita has two options:
1. Pay $0.49, plus an additional $0.019 per minute.
2. Pay $0.059 per minute.
She predicts that her call will be minutes long. Which inequality represents the statement, "Rita would save money using the second option"?
The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x
How to determine the inequality that represents the statement?From the question, we have the following parameters that can be used in our computation:
1. Pay $0.49, plus an additional $0.019 per minute.2. Pay $0.059 per minute.These statements can be represented as
Option 1: y = 0.49 + 0.019x
Option 2: y = 0.059x
Where y is the total amount and x is the number of minutes
When she saves money, we have
Option 2 < Option 1
Substitute the known values in the above equation, so, we have the following representation
0.059x < 0.49 + 0.019x
Hence, the inequality is 0.059x < 0.49 + 0.019x
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Eric earns $390 during a 30-hour week. How much does he earn per hour?
Answer:
$13
Step-by-step explanation:
We find the unit rate by dividing the money earned by the hours
$390/30
= $13
He earns $13 per hour
Answer:
I think its 13...
Step-by-step explanation:
Determine which slope is the steepest. Explain why it is the steepest.
A) Slope=2
B) Slope= 1/2
C)Slope=-4
Answer:
Answer choice C
Step-by-step ex. 4 is the greatest number out of explanation:
The greater the absolute value is, the steeper it is. In this case, the absolute value of -4 is positive 4 since the absolute value shows how far a number is a ways from zero and is always positive. 4 is the largest number out of all of these choices which means it is the steepest slope.
find size of angle BAC
Answer:
i think the answer is 31°c
solve the equation for y: 1 / 3 x + y equals 4
Subtract (1/3)x from both sides of the equation.
(1/3)(x) - (1/3)(x) + y = -(1/3)(x) + 4
0 + y = -(1/3)(x) + 4
y = -(1/3)(x) + 4
Done!
Evaluate the expression when g=4 and h=38.
h-3g
Answer:
the answer is 26
Step-by-step explanation:
3x4=12
38-12=26
which of the following shows a proportional relationship
Answer:
h
Step-by-step explanation:
9514 1404 393
Answer:
c) H
Step-by-step explanation:
Consider the ratios of y to x:
F: 4/2 ≠ 13/5
G: 1/2 ≠ -2/5
H: 10/2 = 25/5 = 30/6 = 50/10 . . . . a proportional relationship
J: 3/2 ≠ 6/5
Table H shows a proportional relationship.
(3x +8) - 6(2.5x - 3)
In november it's about 50 degrees in New Jersey but in Antarctica it's about -40 degrees. How much colder is it in Antarctica then it is in New Jersey?
Answer:
90 degrees
Step-by-step explanation:
Answer:
90 degrees.
Step-by-step explanation:
50 degrees (NJ) + -40 degrees (Antarctica) = 90 degrees.
John has 30 friends. Then amount of male friends is 4 more than the number of female friends. Which system can be used to find the number of male and female friends?
Answer:
The required system of equations is:
[tex]m+f = 30\\m = f+4[/tex]
Step-by-step explanation:
First of all, the variables have to be selected to represent the quantities.
Let m be the number of male friends and let f be the number of female friends.
Then according to first statement "John has 30 friends"
[tex]m+f = 30\ \ \ \ Eqn\ 1[/tex]
And according to second statement "amount of male friends is 4 more than the number of female friends."
[tex]m = f+4\ \ \ \ Eqn\ 2[/tex]
Hence the required system of equations is:
[tex]m+f = 30\\m = f+4[/tex]
How do you work this out?????
Answer: 3 x 3 I think
Step-by-step explanation:
Answer:
3x^2
Step-by-step explanation:
base times height
you do 3x times x to find area
x(3x)
3x^2
Which of the sets shown includes the elements of set Z that are both odd numbers and multiples of 7?
Z={-21, -14, -7.0, 7, 14, 21}
A {-21, 21)
B. {-21.-7. 7. 21)
C: {-14, 0.14)
D. {-21, -14, -7)
Answer:
B. {-21.-7. 7. 21)
Step-by-step explanation:
The set made up of odd numbers and multiples of 7 is given as;
{-21.-7. 7. 21)
Multiples of 7 are usually those numbers where 7 is factor.
Odd numbers are numbers that cannot be divide by 2.
So, the most fitting answer is B.
help pls! answer all three questions for brainlist!! (15 points)
Answer:
#1. Peng spent $48,918.
#2. The farmer had $10,660 at first.
#3. 2,160 minutes
Step-by-step explanation:
#1. (26 × $1,334) + (19 × $749)= $48,918
#2. 26 × 410 + 162= $10,660
#3. 2 ×(9 + 6 + 9 + 6)×12 ×3= 2×30×12×3= 2× 360 × 3= 720 × 3= 2,160 minutes
Answer:
For the first one: [tex](26*1334)dollars+(19*749)dollars=\\34684dollars+14231dollars=48915dollars[/tex] this is the expression of how much she spendsFor the second one:[tex]26employee*410dollars/employee=10660dollars\\10660dollars+162dollars=10822dollars[/tex] This was the original amount he hadFor the third one:So rectangles have two pairs of equal sides, 2 rectangles of the same size means their perimeter is [tex]2*(9feet+9feet+6feet+6feet)=60feet[/tex] Change to inches [tex]1foot=12inches,so,60feet=720inches[/tex] She takes 3 mins per inch then[tex]1inch=3minutes\\720inches=(3minutes)*720=2160minutes[/tex] Is how long she would takeexpand and simplify (2x+1)(3x+6)
Answer:
Step-by-step explanation:
6x^2 + 12x + 3x + 6
6x^2 + 15x + 6
Answer:
6x² + 15x + 6
Step-by-step explanation:
Use FOIL:
Multiply the first terms:
(2x)(3x) = 6x²
Multiply 2x and 6:
(2x)(6) = 12x
Multiply 1 and 3x:
(1)(3x) = 3x
Multiply 1 and 6:
(1)(6) = 6
Then, add these all together:
6x² + 12x + 3x + 6
Add like terms:
6x² + 15x + 6 is the simplified expression
Choose the statement that describes a way to solve the equation x – 23 = 18.
1. Subtract 23 from both sides of the equation.
2. Subtract 18 from both sides of the equation.
3. Divide both sides of the equation by 23.
4. Add 23 to both sides of the equation.
I am less than 10 l am not a multiple of 2 l am a composite number.
Answer:
9 is the answer
Step-by-step explanation:
if it was less then ten and not a multiple of 2 then i will ether be 1 3 5 7 9 but the composite numbers are 4 6 8 9 so since it is not a factor of 2 it has to be 9. so 9 is the answer
The number which is less than 10, not a multiple of 2, and is a composite number, is 9.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
I am less than 10 l am not a multiple of 2 l am a composite number,
The numbers which are less than ten are,
9, 8, 7, 6, 5, 4, 3, 2, 1, 0
The numbers which are not the multiple of 2 are shown below,
9, 7, 5, 3, 1, 0
The numbers which are composite are shown below,
9 = 3 × 3
Thus, The number is 9.
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I need help plz quickly!!:)
Answer:
the first option (2x+3y=-6)
Step-by-step explanation:
It costs Rs 2200 to paint the inner curved surface of a cylinderical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per m2, find: (i) radius of the base (ii) inner curved surface area of the vessel (iii)capacity of the vessel (in litres).
Answer:
1)110m^2
2)1.75m
3)96.25m^2
Step-by-step explanation:
Rate of painting= The cost to paint it /
inner curved surface area of the vessel
20m^2=(Rs 2200 /inner curved surface area of the vessel)
If we make inner curved surface area of the vessel subject of the formula,
inner curved surface area of the vessel= =(Rs 2200/20)
= 110m^2
2)cost surface area of a cylinder can be calculated using expression below
(2πrh,) then the values was calculated in question 1 as 110m^2
Then from (2πrh=110) we can make "r" subject of the formula
r= 110/(2πh). h=10m deep
r=110/(2×3.14×10)
r= 1.75m
3)(iii)capacity of the vessel (in litres
The capacity of the vessel can be regarded as the volume which equals to πr^2h
From question 2 r=1.75m, and h=10m
Then
πr^2h= 3.142×(1.75)^2 ×10
=96.25m^2
Hence the capacity is 96.25m^2
help find the missing side length????
Answer:
24
Step-by-step explanation:
LHS and RHS have same length so 66 - 42 = 24
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Which expression represents 7 times the sum of a number and 8?
Answer:
7(x+8) or 7x+56
Step-by-step explanation:
4x - 5y = 1
x= -6
Solve for x and y
Step-by-step explanation:
*PLZ HELP*...Given the following word problems, write an inequality that models the problem, then solve and check.
Baylee gets 3 stickers each time she cleans her room. She wants to earn at least 15 stickers in April. How many times does she need to clean her room in April?
Answer:
3x ≥ 15At least 5 timesStep-by-step explanation:
Let the number of cleaning be x
Then required inequality is:
3x ≥ 15Solving:
3x ≥ 15x ≥ 5f(x)=3x+7, find f (3)=
Answer:
Step-by-step explanation:
F(3) = 3(3)+7 =16
|3x| = 9
Variable please.
Answer:
x = 3 or x = -3
Step-by-step explanation:
The absolute value of 3x = 9
Divide nine by 3 to get 3
Absolute value represents the number of spaces an integer is from 0, so the answer could also be -3, as the absolute value of 3 x -3 (-9) is 9.
Cameron won a laptop in a school raffle. The diagonal of the laptop measures 26 inches. The length is 24 inches. How tall is the computer screen?
plz help me
3/4x-5 = x
Please show working .
3-5=4x
-2=4x
Divide both sides by 4
-2/4=4x/4
X= -1/2
free brainliest for correct answer, just giving away points
Mr. and Mrs. Mustard have six daughters and each daughter has one brother. How many people are in the Mustard family?
Answer: 7
This is kind of a trick question. Each daughter has one brother- the same brother.
Answer:
14 people
Step-by-step explanation:
6(2) = 12
12 + 2= 14
Need help.... please...
Answer:
The function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]
Step-by-step explanation:
The zeros of the polynomial are: -2,4,0
We can write them as
x=-2, x=4, x=0
or
x+2=0,x-4=0,x=0
Multiplying all terms:
[tex](x+2)(x-4)(x)\\=((x-4)+2(x-4))(x)\\=x^2-4x+2x-8)x\\=(x^2-2x-8)x\\=x^3-2x^2-8x[/tex]
So, the function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]
The thrift store is selling their old DVDs. When the DVDs first came out, they sold for $19. They have now been marked down by 75%.
A stack of D V D's is shown. They are marked seventy-five percent off.
What is the discounted price of a DVD?
Enter the correct answer in the box.
Answer:
4.75
Step-by-step explanation:
original price (100%) → $19
discounted price ((100-75)%) = (25%) → 25% x $19 = $4.75
Answer:
Step-by-step explanation:
Here's what we have to do:
1. 19 x 0.75
= 14.25
2. 19 - 14.25
= 4.75
3. 4.75 + 14.25
= $19
The Discount is $4.75, and the sale price is $19.00.
This strategy is correct and you should use it. I was confused from the answer, but this strategy has gotten every question correct. I used two types of calculators to double check. I redid the equation three times. I am seriously confused. Hope this answer helped!
If this was not helpful, there are tons of special calculators on the internet. Such as the percent calculator, fraction calculator, and even markup and markdown/discount calculators.