Given a term in an arithmetic sequence and
the common difference find the 100th term.
a14= 102
d = 10
Please help, i’m struggling.
Answer:
100th term = 962
Step-by-step explanation:
You need to find the first term of the sequence
The formula to use is
[tex]a_{n} = a_{1} + (n - 1)d[/tex] In your problem, n = 14. So,
[tex]102 = a_{1} + (14 - 1)10\\102 = a_{1} + 130\\a_{1} = -28\\\\[/tex]
Now you can find the 100th term. n = 100, first term = -28 and d = 10
[tex]a_{100} = -28 + (100 - 1)10\\ = -28 + 990\\ = 962[/tex]
100th term = 962
This battery lasts 600 minutes when it's fully charged. Work out how many minutes the battery will last of it has 37% of its charge remaining.
Happy Paws charges $19.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $8.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable to represent the number of hours.
Answer:
8.8 hours
Step-by-step explanation:
Happy Paws y=4.5x+19
Woof Watchers y=5.75x+8
4.5(8.8)+19
$58.6
5.75(8.8)+8
$58.6
Phyllis invested $13,000, a portion earning a simple interest rate of 5¼% per year and the rest earning a rate of 5% per year. After one year the total interest earned on these investments was $672.50. How much money did she invest at each rate?
Answer:
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
Step-by-step explanation:
Formula for the simple interest is,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
Here, P = Principal amount
r = rate of interest
t = Duration of investment
Let Phyllis invested amount (at 5.25% rate of interest) = $x
Therefore, Interest on this amount,
Interest = [tex]\frac{5.25\times x}{100}[/tex]
= $0.0525x
If he invested the rest amount $(13000 - x) at the rate of 5%,
Interest earned on this amount = [tex]\frac{(13000-x)\times 5\times 1}{100}[/tex]
= $(650 - 0.05x)
Interest earned on total amount = $672
Therefore, $0.0525x + $(650 - 0.05x) = $672.5
0.0025x + 650 = 672.5
0.0025x = 22.5
x = $9000
Rest amount = 13000 - 9000
= $4000
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
I don't have time pls help pls pls pls pls
Evaluate the expression for x = 9.
–7x =
Who ever gets it right first gets brainliest
Find the three-digit number using the three clues below.
The number 682 shares one digit with the number, and it is correctly placed.
The number 614 shares one digit with the number, but it is wrongly placed.
The number 296 shares two digits with the number, but they are wrongly placed.
Answer: 942
Step-by-step explanation: this was a tuff one!
Here, we are required to find the three-digit number using the three clues as given.
The three-digit number is 942.
Inference drawn from statements 1, 2 and 3 as follows;Inference drawn from statements 1, 2 and 3 as follows;The number 682 shares one digit with the number, and it is correctly placed.Inference drawn from statements 1, 2 and 3 as follows;The number 682 shares one digit with the number, and it is correctly placed.The number 614 shares one digit with the number, but it is wrongly placedInference drawn from statements 1, 2 and 3 as follows;The number 682 shares one digit with the number, and it is correctly placed.The number 614 shares one digit with the number, but it is wrongly placed. The number 296 shares two digits with the number, but they are wrongly placedThis means the last digit is 2 as it is present as wrongly placed in statement 3 and it is correctly placed in statement 1.Statement 2 shows that 4 is among the 3 digit number, although it is wrongly placed in the number 614, it can only be the first of the second number.Statement 3 suggests that 9 is the other number present as it is evident from Statement 1 and 2, that 6 is not one of the three-digit number.And since, 9 is wrongly placed in 296, it can only take the first position, thereby leaving the second position to 4.Ultimately, the three-digit number is 942.
Read more:
https://brainly.com/question/16889590
what is the meaning of pie
Answer:
PIE means persuade inform and entertain
Step-by-step explanation:
chris worked 3 1/2 hours at his uncles farm. He was paid 8$ for every 1/4 hour he worked. How much money did chris make
Answer:
$112
Step-by-step explanation:
So first figure out how much he makes an hour
8*4 is 32.
32*3 1/2 is $112
The amount that Chris will make will then be $112.
The first thing to do is to divide 3 1/2 by 1/4. This will be:
= 3 1/2 / 1/4
= 7/2 × 4/1
= 14
Now we'll then multiply 14 by $8. This will be:
= $8 × 14
= $112
The amount made will be $112.
Read related link on:
https://brainly.com/question/19965204
4.
-4 + 5n = 18 + 3n
a. -12
b. -11
C.
1.5
d. 11
Answer:
d
Step-by-step explanation:
-4+5n=18+3n
step 1 add 4 to each side
5n=22+3n
step 2 subtract each side by 3n
2n=22
step 3 divide each side by 2
n=11
2 cups of white grape juce; 4 cups of club soda. what is the ratio
Answer:
2:4
Step-by-step explanation:
Answer:
2:4
Step-by-step explanation:
I NEED HELP ASAP WILL MARK BRAINLIEST
Our family has a budget of $4,000 to spend on our next vacation. We plan to spend 7/9 of this amount on gasoline and hotel rooms. We plan to spend 1/2 of the remaining amount on eating out and buying snacks. (food). How much do we plan to spend on food during our vacation?
Group of answer choices
$444.45
$888.89
$1230.00
$3111.11
Answer:
I think it is 888.89
Step-by-step explanation:
Hope this helps. :D
what is 0 + 0? I NEED HELP PLS RN RN IM GETTING GRADED ON THIS PLS HELP WILL MARK BRAINLIEST PLS HELP
Answer:
0
Step-by-step explanation:
Because you just do 0+0
A system of equations is shown below. y = -5x - 2 y=3x - 4 What is the solution to the system of equations?
Answer:
the answer is (x,y) (1/4 -13/4)
If X-1 = 8, what justifies x - 1 = 16?
2
F Subtraction Property of Equality
G Division Property of Equality
H Transitive Property of Equality
J Multiplication Property of Equality
Answer:
I think G Division Property of Equality
Please help me with this Trigonometry question thank you
what does y = 3x + 5 look like on a graph?
PLS HELP I HAVE TO DO THIS BY TONIGHTT
Alicia planted 45 tulip bulbs last year. This year she plans to plant 27 bulbs. Find the percent decrease in thenumber of tulip bulbs.
I got you !
Step-by-step explanation:
45 bulbs planted in first year.
65 bulbs the next year.
increase = 20 bulbs
Number of increase of planted tulip bulb is N = 65 - 45 = 20
( 20/45) x 100% = 44.4 % to the nearest tenths
work
Determine whether each triangle with sides of given lengths is a right
triangle. Justify your answer. (Example 3)
30 cm, 122 cm, 125 cm
5
Answer:
It is not.
Step-by-step explanation:
The formula of a right triangle is "[tex]a^{2}+b^{2} =c^{2}[/tex]" where c is the hypothenuse (the longest side of the triangle) if we replace the formula with the values we will get
"[tex]30^{2} +122^{2} =125^{2} \\900 + 14884 = 15625\\15784\neq 15625[/tex]
Write an equation in slope intercept form for: m = - 1 and b = 2
Answer:
y=-1x+2
or
y=-x+2
y=mx+b
substitute
you get y=-1x+2
The sum of b and 3
Please this really important
Answer:
The answer to the question is b+3 (if you need an equation)
What’s 10x10+294892-2387482=?
Answer:
557,510
Step-by-step explanation:
haha big brain(jk calculater)
Answer:
557,510
Step-by-step explanation:
caculator
Solve for m and q:
m+ 2 = q - 4
5m - 33 = q+1
HI I NEED HELP WITH THIS!!! SOMEONE ANSWER ASAP PLS
Please Jesus God this is so important
Answer:
c
Step-by-step explanation:
GIVING BRAINLIEST!! PLZ HELP ME I HAVE TO FINISH BY SIX O CLOCK!!
This is number 155. Look at the picture below!
Explain how to do this please!
Answer:
4 children per counselor
Step-by-step explanation:
Since the question is asking children per counselor, divide the children/counselor. Check all of the rows by dividing the children by counselor to make sure the constant of proportionality is correct. If you divide correctly, the constant of proportionality you get is 4.
Hope it helps!
Answer:
there is 4 students per conceler.
Step-by-step explanation:
please mark as brainllist.
Determine the slope and the y-intercept Y=2x-3
Answer: The slope is 2 and the y-intercept is -3.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
In slope-intercept form the slope is always the number right in front of the X
Pls help I need to get a good grade I need to pls help
PLEASEEEE HELP!!!☹️☹️ i will mark brainliest
A lion passes through the point (-8,-2) and has a slope of - 3/4. write an equation in slope intercept form for this line.