Answer:
Interest charged over two years: $20
Total amount: $220
Step-by-step explanation:
The formula for simple interest is A = P ( 1 + rt ).
A = 200 ( 1 + (0.05 * 2))
A is the total amount ( interest + principle )
A = 220
P is the principle ( initial amount deposited )
P = 200
R refers to rate (in percent)
R = 0.05
T = time period (in years)
T = 2
What is the 97th term of the arithmetic sequence -16,2,20
Answer:
1712
Step-by-step explanation:
Given arithmetic sequence is: -16,2,20
Here, a = - 16, d = 2 - (-16) = 2+ 16 = 18
n = 97, [tex] a_{97}=?[/tex]
[tex]\because a_n = a + (n-1)d\\\\
\therefore a_{97}= - 16 + (97-1)\times 18\\\\
\therefore a_{97}= - 16 + 96\times 18\\\\
\therefore a_{97}= - 16 + 1728\\\\
\therefore a_{97}=1,712\\\\[/tex]
Answer:
1712
Step-by-step explanation:
Formula of the sequence:
[tex]a_{n}=18n-34\\a_{97}=18(97)-34\\a_{97}=1712[/tex]
So 1712 is the 97th term
what is the quotient of 14,875÷35
Answer:
424.8571428571429
Step-by-step explanation:
Answer:
Step-by-step explanation:
Help me out hereeeeeeeeee
Answer:
0.28
Step-by-step explanation:
Starting with 2, and i count by 8s until I reach 82, and 82 is the Nth number, what is the value of N?
Answer:
11 is N
Step-by-step explanation:
Since we know the first answer is 2, we can subtract 82 by 2. Afterwards we can divide by 8 since we are counting by 8s, this gets me 10. 10 + the first number is 11
A classmate writes and incorrect proportion to find x. Explain and correct the error.
Answer:
x / 9 = 12 / 15
Step-by-step explanation:
Correct proportion by given same angle;
x / 9 = 12 / 15
x = (12)(9) / 15
x = 108 / 15
x = 7.2 unit
Emily has $110 in a savings account this year. She plans on depositing $10 into the savings account each following year. How much money will Emily have in the account after 9 years?
Answer:
.........................
Answer:
200
Step-by-step explanation:
she started with 110 dollars. then u multiple 10 and 9 for the years to come and and the total u had at the beginning giving u 200
Write an equation in slope-intercept form for the line that passes through the points
(-4,1) and is parallel to the equation y = - 2x-6.
Answer:
y=-2x-7
Step-by-step explanation:
parallel lines have the same slope
our new line so far:
y=-2x+b (b is a place holder)
subsitute (-4,1) into the equation
1=-2(-4)+b
1=8+b
-7=b
new line:
y=-2x-7
Samantha is observing a salt crystal under a microscope. She wants to view more details by enlarging the image of
the crystal. Which would allow her to do this?
O increasing the amount of light that shines on the crystal
O decreasing the amount of light that shines on the crystal
O increasing the strength of the objective lens
O decreasing the strength of the objective lens
Answer:
increasing the strength of the objective lens ,
Answer:
C
Step-by-step explanation:
on edge
A rectangular field is 348 inches long and 7 yards wide
ill take a guess on what the actual question is..
area: 2,436
perimeter: 710
Answer:
um i think it's cheese
Step-by-step explanation:
Because i like cheese
How do you skip videos on edunuity?
Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.
Step-by-step explanation:
You may have to press next activity again and it might not work the first time but I promise it works.
Answer:
you skip when it comes to the very end
Step-by-step explanation:
Please Give Brainleastslope of -3,-2 and -1,-5
Answer:
14
Step-by-step explanation:
-3-2 is a slope and you add numbers
karie builds a skate ramp with 2 metres of wood. she wants the vertical height of the ramp to be 1 metre. what does the angle elevation need to be
9514 1404 393
Answer:
30°
Step-by-step explanation:
The relationship between triangle sides and angles can be remembered using the mnemonic SOH CAH TOA. Here, we're interested in the relationship involving the hypotenuse and the side opposite the angle:
Sin = Opposite/Hypotenuse
For a ramp 1 m high and 2 m long, we have ...
sin(x) = (1 m)/(2 m) = 1/2
x = arcsin(1/2) = 30°
The elevation angle of the ramp needs to be 30°.
Help me please and thank you
Answer:
ΔMXP, ΔXMP, ΔPMX
Step-by-step explanation:
A triangle has three sides and three points, so it can only be named using the three points, X, P and M.
MARKING BRAINLIEST
Find the angle measure
Answer:
42x - 9 = 35x + 12
42x - 35x = 12 + 9
7x = 21
x = 3
Answer:
Each angle = 117
Step-by-step explanation:
Parallel lines cut by a transversal have only 2 possible answers for each angle. The two answers are supplementary to each other. These two angles are obtuse (both of them) so they are equal.
42x - 9 = 35x + 12 Add 9 to both sides
42x = 35x + 12 + 9 Combine
42x = 35x + 21 Subtract 35x from both sides
42x - 35x = 21 Combine
7x = 21 Divide by 7
x = 21/7
x = 3
That's not the answer
42x - 9
42*3 - 9
126 - 9
117
At home, Alice noticed that she had a flat tire. With the spare, Alice drove 30 miles to the next shop at 45 mph. After getting the new tire, she drove home at 70 mph. What was Alice's average speed for her round trip?
Answer: Approximately 54.7826 mph
As a fraction, this average speed is exactly 1260/23 mph.
========================================================
Work Shown:
"Alice drove 30 miles...at 45 mph". This means
t = d/r
t = 30/45
t = 2/3
She drove for 2/3 of an hour, which is (2/3)*60 = 40 minutes.
Then "she drove home at 70 mph". She drove the same distance, meaning,
t = d/r
t = 30/70
t = 3/7
She drove for 3/7 of an hour, which is roughly (3/7)*60 = 25.714 minutes.
------------------------------
Add up the time values
(2/3 hr) + (3/7 hr)
(2/3 + 3/7) hr
(14/21 + 9/21) hr
23/21 hr
She spent 23/21 of an hour driving going to the auto shop and then back home. The total distance she traveled was 30+30 = 60 miles.
Use these values to find the speed
r = d/t
r = d divided by t
r = 60 divided by (23/21)
r = (60/1) divided by (23/21)
r = (60/1) * (21/23)
r = (60*21)/(1*23)
r = 1260/23
r = 54.7826
Her average speed for the round trip is about 54.7826 mph.
5/12<__<3/4 what answer goes in the blank
Answer:
We have:
5/12<__<3/4
To complete the blank, we need to find a number that is larger than 5/12, but smaller than 3/4.
This is ratter easy, the first step would be to write both limits with the same denominator.
we can rewrite the upper one as:
3/4 = (3/3)*(3/4) = 9/12
Where we multiplied the numerator and denominator by the same number, 3.
Now we have:
5/12 < < 9/12
Then in the blank, we could input any number like:
5/12 + 1/12 = 6/12
6/12 is larger than 5/12, but smaller than 9/12
We also could use 7/12, or 8/12.
And those are the ones easy to find, actually, there are infinite numbers that can fill the blank.
Then to complete the answer we will write:
5/12 > 6/12 > 9/12
A violin is 100$
What is the price when it's marked down 10%
Answer:
90
Step-by-step explanation:
Answer:
it should be 95.40
Step-by-step explanation:
Which Theorem do you use to solve for D?
Answer:
D + 50 - 20 = 70
D = 70
Step-by-step explanation:
2 + -30 - (-5) + 60 + (-75)
Answer:
-38
Step-by-step explanation:
distribute, mutiply and add
Helppppp please (due tonight)
Answer:
g=68 h=56 f=56
Step-by-step explanation:
g = 5x+18
h and f = 2x+36
5x+18+2x+36+2x+36=180
9x+90=180
9x=90
x=10
In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house. Round your answer to the nearest dollar. (Let x = 0 represent 2000)
Answer:
12500 dollars/year
Step-by-step explanation:
A linear equation i in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change and b is the initial value of y (i.e. x = 0).
Let x represent the year and y represent the cost of the house. Given that x = 0 represent 2000, hence we can represent the problem in the form (x, y) as:
(7, 120000) and (17, 245000). The annual rate of change is gotten using:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{245000-120000}{17-7} \\\\m=12500\\\\m=125000\ dollars\ per \ year[/tex]
Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent?
(a divided by b) divided by 100
(b divided by a) divided by 100
100 (a divided by b)
100 (b divided by a)
Answer:
100(a divided by b)
this is because for example, 1/2
100(1 divided by 2)
100(0.5)
50
50%
Answer:
c
Step-by-step explanation:
Its timed help im failing
Answer:
I think it’s 2.2 m
Step-by-step explanation:
Tho I could be wrong, don’t take my word for it
please help its so late here and my head not working so good
Answer:
rate of 50 cents per pound on the airline
What is the missing numbers to this equation please
? - (? × ?)=90
Answer:
-0(10 x 9)=90
cot? 2x + cos2x + sin’ 2x = csc? 2x
Need help with 40
Answer:
[tex]\rule{100mm}{0.1mm}[/tex]
[tex]\cot^2(2x)+\cos^2(2x)+\sin^2(2x)=\csc^2(2x)[/tex]
[tex]\dfrac{\cos^2(2x)}{\sin^2(2x)} +[(\cos^2(2x)+\sin^2(2x)]=\csc^2(2x)[/tex]
[tex]\dfrac{\cos^2(2x)}{\sin^2(2x)} +1=\csc^2(2x)[/tex]
[tex]\dfrac{\cos^2(2x)+\sin^2(2x)}{\sin^2(2x)}=\csc^2(2x)[/tex]
[tex]\dfrac{1}{sin^2(2x)} =\csc^2(2x)[/tex]
[tex]\boxed{\csc^2(2x)=\csc^2(2x)}[/tex] ✔
[tex]\rule{100mm}{0.1mm}[/tex]
Mike and Joe each receive money for their lunch. Mike receives $100 and spends $3 each day on his lunch. Joe receives $20 and then an additional $5 each day. Joe saves his
money and does not buy lunch. How many days will it take for Mike and Joe to have the same amount of money?
Simplify this expression
help fast please
Answer:
C i think
Step-by-step explanation:
9 divided by 315
Peals help
Answer:
0.028571429 or 1/35
Or if you meant 315 divided by 9 it’s 35
Step-by-step explanation:
9 ÷divided by 315 equals 0.02857 (rounded to five decimal places) or approximately 0.03.
When dividing 9 by 315, we set up the division equation: 9 ÷ 315. To perform the division, we start by dividing the first digit, 9, by the first digit of 315, which is 3. Since 3 can be divided evenly into 9, the quotient is 3.
Next, we bring down the next digit, 1, making the current dividend 15. We continue dividing 15 by 3, resulting in a quotient of 5. Finally, there are no more digits to bring down, so the division is complete.
Therefore, 9 ÷ 315 equals 0.02857 (rounded to five decimal places) or approximately 0.03.
Learn more about division here
http://brainly.com/question/231633
#SPJ6
Find the slope of the line in the given graph.
Answer:
option A, 3/4
Step-by-step explanation:
slope / gradient formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
use the 2 coordinates from the graph
i) (-2,3)
x1 = -2
y1 = 3
ii) (2,6)
x2 = 2
y2 = 6
[tex] \frac{y 2 - y1}{x2 - x1} [/tex]
[tex] \frac{6 - 3}{2 - ( - 2)} [/tex]
[tex] \frac{3}{2 + 2} [/tex]
[tex] \frac{3}{4} [/tex]