Answer:
x=15
Step-by-step explanation:
135+3x=180
-135 -135
___________
3x=45
÷3 ÷3
_______________
x=15
Hope it helps a bit :D
A sinking fund is established to discharge a debt of $20,000 in 15 years. If deposits are made at the end of each 6-month period and interest is paid at the rate of 5%, compounded semiannually, what is the amount of each deposit? (Round your answer to the nearest cent.)
Answer:
the amount of each deposit is $45,555
Step-by-step explanation:
The computation of the each deposit is shown below:
Given that
Future value be $20,000
Time period = 15 × 2 = 30
And, the rate = 5% ÷ 2 = 2.5%
Now the formula is as follows
= (Future value × rate of interest) ÷ (1 + rate of interest)^time period - 1
= ($20,000 × 2.5) ÷ (1 + 0.025)^30 - 1
= $50,000 ÷ 1.0975675791
= $45,555
Hence, the amount of each deposit is $45,555
The sum of the digits of a two-digit number is 8. The difference between the number and the reversed number is 10 more than the reversed number. Find the number.
Answer:
The number is 62
Step-by-step explanation:
Let the digits of the number be T and U;
A 2 digit number is represented as: 10T + U
So,
[tex]T + U = 8[/tex]
[tex]10T + U - (10U + T) = 10 + 10U + T[/tex]
Required
Find the digit
Make U the subject in the first equation
[tex]U = 8 - T[/tex]
Substitute 8 - T for U in the second
[tex]10T + U - (10U + T) = 10 + 10U + T[/tex]
[tex]10T + 8 - T - (10*(8-T) + T) = 10 + 10(8 - T) + T[/tex]
[tex]10T + 8 - T - (80-10T + T) = 10 + 80 - 10T+ T[/tex]
[tex]10T + 8 - T -80+10T - T = 10 + 80 - 10T+ T[/tex]
Collect Like Terms
[tex]10T + 10T - T- T + 8 -80 = 10 + 80 - 10T+ T[/tex]
[tex]18T -72 = 90 - 9T[/tex]
[tex]9T + 18T = 90 + 72[/tex]
[tex]27T = 162[/tex]
[tex]T = 162/27[/tex]
[tex]T = 6[/tex]
Recall that:
[tex]U = 8 - T[/tex]
[tex]U = 8 - 6[/tex]
[tex]U = 2[/tex]
Hence, the number is 62
Write the equation of the line that passes through (-3, -20) and (1,4).
Answer:
y=6x-2
Step-by-step explanation:
The equation of the line is y=mx+b
FINDING SLOPE: To find the slope of a given line use the equation [tex]\frac{y2-y1}{x2-x1}[/tex]
So x1=-3, y1=-20 and x2=1, y2=4
Plug those numbers into the equation: [tex]\frac{4-(-20)}{1-(-3)}[/tex] and we get the slope which is 6.
FINDING Y-INTERCEPT: Then we find the y intercept by plugging in our points (you can choose) I will use (1,4) and solve.
y=6x+b
4=6(1)+b
b=-2
Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she reaches the third mile marker, she realizes that she has been biking for 30 minutes. What is the rate at which she is riding?
Given:
Rita covered 1 mile in 15 minutes.
She covered 3 miles in 30 minutes.
To find:
The rate at which she is riding.
Solution:
Let y be the number of miles covered in x minutes.
Rita covered 1 mile in 15 minutes. So, the point is (15,1).
She covered 3 miles in 30 minutes. So, the point is (30,3).
Slope of the line:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{3-1}{30-15}[/tex]
[tex]m=\dfrac{2}{15}[/tex]
Therefore, she is riding [tex]\dfrac{2}{15}[/tex] miles per minute.
Find the zero of the function f(x) = -8x + 4.
a. -1/2
b. 2
c. -2
d. 1/2
Please select the best answer from the choices provided
A
B
C
D
Answer:
D
Step-by-step explanation:
f(1/2)=-8(1/2)+4 = 0
4.82
write as a fraction or mixed number in simplest form
I'm pretty sure 4.82 as a simplified fraction is 241/50.
what is the value of this?
Answer:
4
Step-by-step explanation:
I used desmos
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{-2(7-15)}{4}}\\\\\mathsf{7-15=-8}\\\\\mathsf{\dfrac{-2(-8)}{4}}\\\\\mathsf{-2(-8)=16}\\\\\mathsf{\dfrac{16}{4} = 4}\\\\\\\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\boxed{\mathsf{\bf{D.\ 4}}}}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Tyler took $20 out of his checking account 6 days in a row while he was on vacation. Which integer shows the total change in his checking account balance for those days?
Answer:
120
Step-by-step explanation:
20 x 6 = 120 which will be subtracted by his balance. hence the change.
Answer:
-$160
Step-by-step explanation:
20*6=160
Don’t know answer help!!!
Answer:
Step-by-step explanation:
AA
-4(1+ 5-6- (42+5)
I really need the answer asap please and thanksss
Answer:
Read left to right
Do parenthesis first
-4 ( 1 + 5) ^2
-4 (6) ^2
Then exponent
6^2 = 6 x 6 = 36
-4 x 36 = -144
Then divide
-144 / 6 = -24
Then the next parenthesis
(42+5) = 47
-24 - 47 = -71
Step-by-step explanation:
6 The temperature at Wonder Lake is 12°F. During a storm, the temperature changes by -26°F. What is the temperature after the storm show your work
Answer:
-14
Step-by-step explanation:
12-26
10-20=10
2-6=4
-14
I may have done this wrong
what is the value of X that makes equation true? -5(2x - 3) + 4x = -3x + 6
Answer:
the value of x is -2
it was pretty simple if in wrong im sorry
The answer to the equation -5(2x - 3) + 4x = -3x + 6 is x=3
(9.32 * 10^3) (3.32 *10^2)
Answer:
−72,−2.8,−54, 43, 1.3
Step-by-step explanation:
Answer:
3,094,240
Step-by-step explanation:
(9.32 x 10^3) (3.32 x 10^2)
(9.32 x 1000) (3.32 x 100)
(9320) (332) = 3094240
Evaluate f(x) when x=-10
(2x - 4 if -3
f(x) =
\x2 +3 if 10 < x <13
-24
16
No solution
-7
Answer:
Step-by-step explanation:
-7 is the correct.
PLEASE HELP! Just do 5 - 7. Thanks
Answer:
5.
Rectangle a:
Perim: 16 cm
Area: 12 cm^2
Rectangle b:
Perim: 32 cm
Area: 48 cm^2
6.
16:32 or 16/32 or 16 to 32
7.
12:48 or 12/48 or 12 to 48
Step-by-step explanation:
Hannah is thinking of two numbers. Their HCF is 6 and their LCM is 2310.
Choose all the pairs that she could be thinking of.
30 and 462
42 and 165
66 and 210
105 and 462
42 and 330
Find the slope of the line through each pair of points. (-13, -3) (4, 5)
Answer:
the answer is [tex]m=\frac{8}{17}[/tex]
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).
Prove that the following quadrilateral is a kite.
A(1,5), B(4, 2), C(1, -5), D(-2, 2)
Answer:
1, -5), D(-2, 2)
Step-by-step explanation:
the points form a diamond shown in the linked image
2xy^2 ( - 3x^2 y^2 + 4x)
Answer:-6x^3y^4+8x^2y^2
Step-by-step explanation:
A camera store developed 2100 rolls of film in one month. Customers wanted double prints from 1500 of these rolls. What is the ratio of rolls with double prints to rolls developed?
2:7
2:5
5:7
7:5
Answer:
the answer is 5:7
Step-by-step explanation:
as a fraction, the ratio looks like this:
1500/2100
where 1500 is the number of rolls with double prints and 2100 is the amount of rolls developed.
if you simplify the fraction, you get 5/7.
5/7 is 5:7 written as a ratio in this problem.
hope this helped!!
What on earth is: 1.92/3 = ? Please help me idk how to do this ;-;
Answer:0.64
Step-by-step explanation:
A soccer team is selling doughnuts to raise money for new uniforms. They are selling the doughnuts for $8 per dozen. They must pay Delightful Donuts $2 per dozen doughnuts and a $20 delivery fee for the doughnuts purchased to sell. Choose the function that represents a Profit Function. Select all that apply.
Answer:
P(x)=8x-20
P(x)=8x-(2x+20(
Step-by-step explanation:
A lawn sprinkler sprays water onto part of a circular region as shown below. What is the exact area in square feet of the region that the sprinkler sprays with water?
Answer:
80 ft
Step-by-step explanation:
4 multiple ( 2+3) square 2
Answer:
100
Step-by-step explanation:
4 x (2 + 3)[tex]^{2}[/tex]
for this equation u have to use PEMDAS so u have to solve the parenthesis first which is 5 then exponets which is [tex]5^{2}[/tex] which is 25 and 24 x 4 gives you 100
hope this helps, if im wrong sorry
which equation describes the nth term of the arithmetic sequence 2, -1, -4, -7
Maria spends 910 hours on her art project. Juan spends 26 hours on his art project. Which answer is the most accurate estimate for how much more time Maria spends on her art project than Juan spends on his? A 0 hours B12 hour C34 hour D1 hour
Answer:
3/4
Step-by-step explanation:
ok you need the anser her it is fris 91/0 hours and 26 do the math do you add or subtract? ok its can be a little trick but 3/4 is the anser.byeee let me know if its right
When shopping for life insurance, the best strategy is to:
a. Follow your agent's recommendations. They are the experts and it is the agent's job to make
sure you get the products that are right for you.
b. Buy your coverage through your employer, if possible.
c. Figure out how much you need, then comparison shop using the Web and other resources.
d. Wait until you are older so that you can buy a cheaper, shorter term policy.
Please select the best answer from the choices provided
B
O O O O
oo >
Mark this and return
Submit
Answer:
answer is "C"
Step-by-step explanation:
just took the test on edge 2020
The best strategy when shopping for life insurance is option (c): Figure out how much coverage you need, then comparison shop using the Web and other resources.
Choosing life insurance is an important decision that impacts your loved ones' financial security in the future. Rather than solely relying on an agent's recommendations or employer-provided coverage, it's crucial to assess your specific needs and financial situation. Take the time to determine the appropriate amount of coverage based on factors like family expenses, outstanding debts, and future financial goals.
Once you have a clear understanding of your needs, comparison shopping allows you to explore various insurance providers, their policy features, and premiums. This enables you to find the best policy that meets your requirements and provides value for your money. Making an informed decision ensures you have the right life insurance coverage to protect your loved ones in the long run.
To know more about strategy:
https://brainly.com/question/29056752
#SPJ6
John gets 1 question incorrect for every 15 questions. How many questions will he get correct & incorrect if he had to answer 25 questions?
Answer:
2
Step-by-step explanation:
15+15 is 25 and for every 15 questions he gets 1 wrong so he got 2 wrong
John will fail.
John will fail.
John will fail.
John will fail.
John will fail.
John will fail.
John will fail.
John will fail.
John will fail.
Factor the expression completely, -12.75 + 4.25x
what is the equation of the line that passes through the point (4,-5) and is parallel to the line y=1/2x+5
Answer:
y=1/2x - 7
Step-by-step explanation:
Since the lines are parallel, this means that the slopes will be the same, only the y-intercept will change. I graphed this out to find the answer.
