Answer:
16 cms.
Step-by-step explanation:
The length of each side = 40 / 4 = 10 cm (as the 4 sides of a rhombus are congruent).
If we draw the other diagonal we form 4 right angled triangles (another property of the rhombus - diagonals bisect each other at tight angles. ).
The side of the rhombus is the hypotenuse of the right triangle.
So if we consider one triangle:
10^2 = 6^2 + x^2 where x is half the length of the other diagonal.
x^2 = 10^2 - 6^2
x^2 = 100 - 36 = 64
x = 8 cm.
So the diagonal is 16 cms long.
Jordan’s credit card has an APR of 10.59%, compounded monthly. He is required to make a minimum payment of 3.96% of his current balance every month. At the beginning of March, Jordan had a balance of $628.16 on his credit card. The following table shows his credit card purchases over the next few months. Month Cost ($) March 50.81 March 48.04 April 77.36 April 32.40 April 49.20 May 25.79 May 79.39 May 79.08 If Jordan makes only the minimum monthly payments in March, April, and May, what will his balance be after he makes the minimum payment for May? (Assume that interest is compounded before the monthly payment is made, and that the monthly payment is applied at the end of the month. Round all dollar values to the nearest cent.) a. $1,094.10 b. $988.97 c. $967.60 d. $1,070.23
Answer:
b. 988.97
Step-by-step explanation:
got a 100 on the test
The balance at the end of May after the minimum payment is made is
$571.64.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $628.16
r = 10.59%
n = 12
t = 1/12
The amount after March.
A = 628.16 [tex](1 + 0.1059)^{12\times0.08[/tex]
A = $633.48
Monthly payment.
= 3.96/100 x 633.48
= $25.09
Remaining amount.
= 633.48 - 25.09
= $609.39
The amount after April.
A = 609.39 [tex](1 + 0.1059)^{12\times0.08[/tex]
A = $614.55
Monthly payment.
= 3.96/100 x 614.55
= $24.34
Remaining amount.
= 614.55 - 24.34
= $590.21
The amount after May.
A = 590.21 [tex](1 + 0.1059)^{12\times0.08[/tex]
A = $595.21
Monthly payment.
= 3.96/100 x 595.21
= $23.57
Remaining amount.
= 595.21 - 23.57
= $571.64
Thus,
The balance at the end of May is $571.64.
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Find the mean, median, and mode for the following scores: 8, 7, 5, 7, 0, 10, 2, 4, 11, 7, 8, 7
Answer:
mode is 7, mean, 6.3 repeating, median 7
Step-by-step explanation:
Let's find
1/2+3/7
First write the addition with a common denominator.
Then add.
1/2+3/7=
Answer:
7/14+6/14=13/14
Step-by-step explanation:
find the common denominator(14)
change both fractions
1/2*7/7(2*7=14)=7/14
3/7*2/2(7*2=14)6/14
then add.
Three family members clean the bathrooms, wash the dishes, and do the laundry. If the
3 family members split up the time equally, how much time does each person spend doing
chores?
Answer:
1/3
Step-by-step explanation:
its 1/3 for every chore soooo 1/3 then 2/3 then 3/3
Lucas ran 9 miles in 3/4 of an hour. He took a break then returns by traveling that same 9 miles in 2/3 of an hour. How many more miles can lucas run per hour with his new rate
Answer:
He can run more 4.5 miles [total 13.5 miles in one hour]
Step-by-step explanation:
check the attachment for explanation
Write the equation of the line fully simplified slope-intercept from.
Answer:
y = 4/3x - 7
Step-by-step explanation:
An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree-days, where a day's degree-days are the number of degrees its average temperature falls below 65° F) over a 23-month period. He then computed the least-squares regression line for predicting y from x and found it to be ŷ = 84 + 18x. How much, on average, does gas used increase for each additional degree-day?
Answer:
18
Step-by-step explanation:
In the linear regression equation y=a+bx, slope coefficient b represents average unit increases in y variable due to unit increase in x variable.
In the given equation ŷ = 84 + 18x, b=18 represents average unit increases in gas used due to unit increase in degree day.
Hence,on average, gas used increase by 18 for each additional degree-day.
what is y over 3 (y/3) = 12
Answer:
so what i would like to do is what is 12 divid by 3 and when u get ur answer that it what the y is
Answer:
36
Step-by-step explanation:
y/3=12
y=3*12
y=36
Please help!!!!!!!!!
Answer:
uhm wrong guestion
Step-by-step explanation :
sorry
-3(-18)-y=56
help >_
Answer:
y = -2
Step-by-step explanation:
Step 1: Define
-3x - y = 56
x = -18
Step 2: Substitute and solve for y
-3(-18) - y = 56
54 - y = 56
-y = 2
y = -2
Answer:
y=-2
Step-by-step explanation:
this is because if you multiply -3 by -18 you get 54 and 56-54 is 2 so -y is 2
Evaluate the difference quotient for the given function. Simplify your answer.
f(x) = 5 + 4x – x2,
f(3 + h) – f(3)
h
1-1-2h-h² x
Enhanced Feedback
Please try again. To evaluate f(a + h), replace x by (a + h) in the expression for f(x). Substitute this
Need Help?
Read It
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Show My Work (Required)
What steps or reasoning did you use? Your work counts towards your score.
substituting (3+h) into the equation by replacing (3+h) where there is a x value we can get the quotient. Then repla
Answer:
-2-h
Step-by-step explanation:
It doesn't hurt to follow directions.
[tex]q=\dfrac{f(3+h)-f(3)}{h}=\dfrac{(5 +4(3+h)-(3+h)^2)-(5 +4(3)-(3)^2)}{h}\\\\=\dfrac{5-5+4(3+h-3)-((3+h)^2-3^2)}{h}=\dfrac{4h-(6h+h^2)}{h}\\\\=\dfrac{-2h-h^2}{h}=\boxed{-2-h}[/tex]
__
Steps: substitute 3+h and 3 for x in the definition of f(x) and simplify the result.
You are given the list of numbers, -9, 8, 3.0,
2
5'
2.42, 1. Which numbers are rational? Irrational?
The perimeter of the rectangle below is 224 units. Find the length of side PQ.
Write your answer without variables.
Which of the following relations are functions?
f={(1,2),(2,3),(3,5),(4,7)}
g={(1,3),(1,4),(2,5),(2,6),(3,7)}
h={(1,3),(2,6),(3,9),•••,(n,3n),•••}
Bella lost 10 points 7 times playing a video game she then lost an additional a hundred points for going over the time limit what was the total change in her score
ga fa gza ca Morgan aca she moaned so hard
Translate this please
Answer:
x < 6
Step-by-step explanation:
x can be 6 but no higher
hope this helps
solving literal equations HELP!!b g=x-c, for x
Answer:
Step-by-step explanation:
Not sure
Answer:
x = g + c
Step-by-step explanation:
This is the answer because:
1) Solve for x by simplifying both sides of the equation, then isolating the variable.
Therefore, the answer is x = g + c
Hope this helps! :D
A _________ is used to change one unit to another?
Answer:
conversion factor
Step-by-step explanation:
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
can someone help me
Answer:
a. fig. 2 has 8 tiles, 3 has 11 and 4 gas 14
b. It changed when they added sides, 2 to the up and down left part and 1 on the right left part
A merchant mixed 10 lb of a cinnamon tea with 2 lb of spice tea. The 12-pound mixture cost $13. A second mixture included 16 lb of the cinnamon tea and 8 lb of the spice tea. The 24-pound mixture cost $28. Find the cost per pound of the cinnamon tea and of the spice tea.
Step-by-step explanation:
Let's say c is the price of cinnamon tea, and s is the price of spice tea.
10c + 2s = 13
16c + 8s = 28
Divide the second equation by 4:
4c + 2s = 7
Subtract from the first equation:
6c = 6
c = 1
Use any equation to find s.
s = 1.5
Therefore, the cinnamon tea costs $1 per pound and the spice tea costs $1.50 per pound.
please answer or i fail
Answer:
42
Step-by-step explanation:
360 - ( 139 + 45+ 90+44)
Answer:
42 °
Step-by-step explanation:
complete angle = 360 ° . therefore sum of all angles around a single point is equal to 360 ° .
360° - 139° - 45° - 90° - 44° = x
x = 180 - 138 = 42 °
Divide. Reduce the answer to lowest terms. giveing brainlist
1/5 ÷ 3/4
Answer:
4/15
Step-by-step explanation:
1/5 * 4/3 = 4/15
Hope this helps and pls give me brainliest.
The solution is Option B.
The value of the equation 1/5 ÷ 3/4 is A = 4 / 15
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 1/5 ÷ 3/4 be equation (1)
On simplifying the equation , we get
A = 1/5 x 4/3
A = 4 / ( 5 x 3 )
The value of A = 4 / 15
Therefore , the value of A is 4/15
Hence , the equation is A = 4/15
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HELP PLEASE
I need help ASAP
Answer:
1032
Step-by-step explanation:
what is the slope of the line ?
suppose four more people voted and they all voted for Jocelyn.what fraction of the vote would be for Jocelyn?
Answer:
The Answer is 113/348
Step-by-step explanation:
Which numbers is a factor of 100? 8 12 15 20
Answer:
20
Step-by-step explanation:
[tex]100 = 20 \times 5[/tex]
The graph of f(x)=2^x is shown in black (k). Match each transformation of this function with a graph below.
Answer:
Step-by-step explanation:
From the graph attached,
Black curve represents a function f(x) = 2ˣ
When this curve is reflected over the x-axis image of the function will be,
g(x) = -[tex]2^{x}[/tex] [Red curve]
Similarly, curve represented by h(x) = [tex]2^{-x}[/tex] is the blue curve [image of f(x) reflected over y-axis]
When this curve is reflected over the x-axis, image of the function will be,
h'(x) = [tex]-2^{-x}[/tex] [green curve]
[tex]-2^{x}[/tex] → Red
[tex]-2^{-x}[/tex] → Green
[tex]2^{-x}[/tex] → Blue
A chain weighs 9 pounds per foot. How many ounces will 5 inches weigh? Round your answer to the
nearest tenth as needed.
Answer:
60 ounces.
Step-by-step explanation:
A chain weighs 9 pounds per foot.
We are to find the number of ounces 5 inches weigh.
First we find how many feet are in 5 inches.
1 foot = 12 inches
how many feet? = 5 inches.
Cross-multiplying gives;
[tex]\frac{5}{12} * 1 = \frac{5}{12}[/tex] feet
1 foot of the chain = 9 pounds
[tex]\frac{5}{12}[/tex] feet = how many pounds?
Cross-multiplying gives;
[tex]\frac{5}{12} * 9 = 3.75[/tex] pounds
1 pound = 16 ounces
3.75 pounds = how many ounces?
Cross-multiplying gives;
[tex]\frac{3.75 * 16}{1} = 60[/tex] ounces.
The number of ounces will 5 inches weigh is 66.667 oz.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A chain weighs 9 pounds per foot.
We know that
1 foot = 12 inches.
1 pound = 16 ounces.
Now based on this,
= 5 inches 1/12 x foot/ inches x 10 x pound/ feet x 16
= 5 x 10 x 16 / 12
= 66.667 oz.
Hence, the chain weight 66.6667 oz.
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The value of x in the equation (12x − 36) = 5x + 18 is .
Answer:
[tex]x = \frac{54}{7} [/tex]Step-by-step explanation:
(12x − 36) = 5x + 18
First of all remove the parenthesis
That's
12x - 36 = 5x + 18
Next subtract 5x from both sides of the equation
We have
12x - 5x - 36 = 5x - 5x + 18
7x - 36 = 18
Add 36 to both sides of the equation
That's
7x + 36 - 36 = 18 + 36
7x = 54
Divide both sides by 7
[tex] \frac{7x}{7} = \frac{54}{7} [/tex]
We have the final answer as
[tex]x = \frac{54}{7} [/tex]
Hope this helps you
Answer: x=54/7
Step-by-step explanation:
To find the value of x, we need to use algebraic properties to isolate x.
12x-36=5x+18 [subtract both sides by 5x]
7x-36=18 [add both sides by 36]
7x=54 [divide both sides by 7]
x=54/7
Now, we know that x=54/7.
Can someone help me plssssss ;w;
The magnitude of an earthquake depending on the energy it produces can be modeled using the equation M = 0.6666 log x – 3.2. Complete the sentences about the model.
The curve representing the relationship includes the point_______ .
The growth factor is________ .
An earthquake with an energy level of has a magnitude of ________ .
Answer: The curve representing the relationship includes the point (1, -3.2) .
The growth factor is 0.6666 .
An earthquake with an energy level 1 of has a magnitude of -3.2 .
Hello my Alpha.... bows down*
The curve representing the relationship includes the point (1, -3.2).
The growth factor is 0.6666. An earthquake with an energy level of has a magnitude of – 3.2.
It is given that the magnitude of an earthquake depending on the energy .it produces can be modeled using the equation M = 0.6666 log x – 3.2.
It is required to find growth factor, point and magnitude.
The curve representing the relationship includes the point_______ .The growth factor is________ .An earthquake with an energy level of has a magnitude of _______.The amount of energy released is represented as E and an earthquake release the magnitude represented by M which is given in the question. This magnitude is represented as equation using logarithm of the height of the wave that is the scale measured by seismograph.
Thus, The curve representing the relationship includes the point (1, -3.2).
The growth factor is 0.6666 .
An earthquake with an energy level of has a magnitude of – 3.2.
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