You have saved $1350 and are now going to invest it. The account you have chosen will compound continuously and after 10 years you will have $1462. What interest rate will the account give you?
Answer:
The account interest rate is 0.80%
Step-by-step explanation:
A=P(1+r/100)^10
1462=1350(1+r/100)^10{divide both sides by 1350}
1462/1350=(1+r/100)^10{find the 10th root of both sides}
1.00800=1+r/100{multiply through by 100}
100.800=100+r
r=100.800-100
r=0.80%
Find the coefficient of x^2 y^3 in the expansion of (-4x+y)^5. Give your answer as an integer.
Edward deposited $10,000 into saving accounts 2 years Ago. The simple interest rate is 2%. How much money did Edward earn in interest.
Answer:
the answer is someone else can
Answer:
S = P (r)(t)
Step-by-step explanation:
S = Simple interest
P = Principle
r = rate
t = time
S = (10000 x 2%)x2
Work brackets first 10000 x 2% = 200
then 200 x 2 = 400
S = 400
(-52 + x – 5) – (–70² – 7x – 3)
Answer:
7x+4846
Step-by-step explanation:
Explain how exercise can benefit your mental and social health
Answer:
exercising is good
Step-by-step explanation:
exercising releases hormones in your body that can make you happier, it also keeps your mind in tip top shape. Also even just being outside of a building would also release hormones in your brain that causes you to lighten your mood!
Answer: Exercise can help with mental health because when your angry sometimes working out can help get rid of anger and if your sad it can help get more motivated and positive about some stuff. It also helps with discipline and respect which can help with your social skills by talking respectfully to others.
M = -2 x= 3 y=14 Use y=mx+b ,what is b=
Answer:
the b is 20
Step-by-step explanation:
The computation of the b is shown below
Given that
y = mx + b
where
m = -2
x = 3
y = 14
Now placing these values to the above formula to determine the value of b
14 = -2(3) + b
14 = -6 + b
b = 14 + 6
= 20
Hence, the b is 20
We simply applied the above formula so that the correct value could come
And, the same is to be considered
let Q equal five at an angle of 45° in our equals 16 at an angle of 300° what is vector Q minus R
Answer:
D. 18.0
Step-by-step explanation:
edge
The value of |q-r| will be 18 for the given two vectors q and r.
What is vector?A quantity or phenomenon with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation.
Given, |q| = 5 at an angle of 45° and |r| = 16 at an angle of 300°.
Let OA =|q|
OB = |r|
BA = |q|-|r|
Hence ∠AOB = 45°+(360°-300)
∠AOB = 45°+60°
∠AOB = 105°
Given |q| = 5, |r| = 16
The Cosine Rule can be used in any triangle to relate all three sides to one angle.
Now using the cosine rule
|q-r| = √(16)²+(5)²-2×16×5×cos105°
|q-r| = 18
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A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?
Fine the vertex, the axis of symmetry and the y intercept of the graph
Answer:
vertex: (-3,2) because the vertex would be the center point of the parabola
axis of symmetry: x=-3, the axis of symmetry is the the center/split in the parabola.
y-intercept: y= -1, because this is the point where the parabola crosses through the y-axis
Which step(s) would create equations so that the coefficients of one of the variables are
opposites?
(A) Multiply the first equation by 7.
Multiply the second equation by 3.
(B) Multiply the first equation by -2.
Multiply the second equation by 4.
(C) Multiply the first equation by 2.
(D) Multiply the second equation by 4.
Need help plz very much
Answer:
3
Step-by-step explanation:
Remember that when we are dividing two exponents with the same base (here, it's 13), we can subtract the values of the powers:
[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
So, here, we have [tex]\frac{13^{10}}{13^7}[/tex] , so we subtract 7 from 10:
[tex]\frac{13^{10}}{13^7}=13^{10-7}=13^3[/tex]
Thus, 3 should go in the box.
NEED HELP ASAPInstructions: Find the length of the missing sides. Round your answers to the
nearest tenth. (Hint: Always make sure to label your triangle first with your
reference angle)
Answer:
[tex]x = 9.4[/tex]
[tex]y = 17.7[/tex]
Step-by-step explanation:
Given: The figure
Required: Find x and y
The relationship between length x, length 15 and angle 32 is as follows:
[tex]tan \theta = \frac{opp}{adj}[/tex]
So, we have:
[tex]tan\ 32= \frac{x}{15}[/tex]
Cross multiply:
[tex]x =15*tan\ 32[/tex]
[tex]x = 15 * 0.6248693519[/tex]
[tex]x = 9.3730402785[/tex]
[tex]x = 9.4[/tex] --- approximated
Similarly:
The relationship between length y, length 15 and angle 32 is as follows:
[tex]cos \theta = \frac{adj}{hyp}[/tex]
So, we have:
[tex]cos\ 32= \frac{15}{y}[/tex]
Cross Multiply:
[tex]y * cos\ 32= 15[/tex]
Solve for y
[tex]y = \frac{15}{cos\ 32}[/tex]
[tex]y = \frac{15}{0.84804809615}[/tex]
[tex]y = 17.6876760506[/tex]
[tex]y = 17.7[/tex] --- approximated
Select the correct answer. Which expression is equivalent to ^3 square root of 200k^15, if k ≠ 0
Please help I’m in the middle of a test
The equivalent algebraic expression to [tex]\sqrt[3]{200k^{15}}[/tex] is [tex]2~k^5~\sqrt[3]{25}[/tex]
The correct answer is an option (B)
What is algebraic expression?"It is a mathematical statement which consists of numbers variables and some algebraic operations."
What are exponents?"It refers to the number of times a number is multiplied by itself."
For given question,
We have been given an algebraic expression [tex]\sqrt[3]{200k^{15}}[/tex]
We need to find an equivalent algebraic expression to given expression.
We know that the properties of exponents,
for positive integers a, b, n
[tex]\sqrt[n]{a}=a^{(\frac{1}{n} )}\\\\\sqrt[n]{ab}=a^{(\frac{1}{n} )}b^{(\frac{1}{n} )}[/tex]
We can write algebraic expression [tex]\sqrt[3]{200k^{15}}[/tex] as,
[tex]\sqrt[3]{200k^{15}}\\\\=\sqrt[3]{25\times 8\times k^{15}}\\\\=(25)^{\frac{1}{3} }\times (8)^{\frac{1}{3} }\times (k^{15})^{\frac{1}{3} }\\\\=\sqrt[3]{25}\times 2\times (k)^{\frac{15}{3} }\\\\ =2\sqrt[3]{25} \times k^5\\\\=2~k^5~\sqrt[3]{25}[/tex]
Therefore, the equivalent algebraic expression to [tex]\sqrt[3]{200k^{15}}[/tex] is [tex]2~k^5~\sqrt[3]{25}[/tex]
The correct answer is an option (B)
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You compare the happiness of people forced to smile with those of people forced to frown. Both groups have the same number of participants. The mean happiness level in the smile group is 20. The mean happiness level in the frown group is 19. The standard deviation of both groups is 20. The effect size is:_________
Answer:
0.05
Step-by-step explanation:
The Effect size = (Difference in Means) / (Standard deviation)
= (20 - 19) / 20
= 1/20
= 0.05
K mola ofkg o okdgmbo9k
Answer: c
Step-by-step explanation:
Suppose a DVD costs $19 and a CD costs $12. Which inequality represents how many CDs (c) you can buy along with one DVD (d) if you have $67 to spend?
A. 12c + 19 ≥ 67
B. 12c + 19 ≤ 67
C. 19c + 12 ≤ 67
D. 12c + 19 > 67
Help! Which is the right one?
Answer:
it depends on the rest of the equation
Step-by-step explanation:
sss is used for using 3 sides to determine if the triangles are congruent, asa uses an angle then a side then an angle, sas uses a side then an angle then a side, ssa uses a side, then another side, then an angle
can you help me? i don’t understand
angle1 + angle2 = 180
[tex]4x + 20 + x + 20 = 180[/tex]
[tex]5x + 40 = 180[/tex]
[tex]5x = 180 - 40[/tex]
[tex]5x = 140[/tex]
[tex]x = \frac{140}{5} [/tex]
[tex]x = 28[/tex]
The entrance fee to a carnival is $8, and it costs $0.50 for each ride. If Sanjay rides 6 rides, how much will he spend in total?
A. $28 dollars
B. $14dollars
C. $11dollars
D. $10 dollars
Answer:
$11
Step-by-step explanation:
0.50 × 6 = 3
3 + 8 = 11
Answer - $11
Hope this helps
Can someone help me with this?
2 balloons and 3 cakes cost $26.
4 balloons and 4 cakes cost $40.
What's the cost of 1 balloon?
What's the cost of 1 cake?
Answer:
The cost of one balloon is 4 dollars
the cost of one cake is 6 dollars
Step-by-step explanation:
The way I did it was by substituting different numbers and seeing if they equaled forty or 26.
my thought process:
1 balloon= 5
1 cake= 10
that doesnt work for 2 balloons and 3 cakes
1 balloon=5
1 cake=5
that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes
1 balloon=4
1 cake=7
I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)
Sophia went out to eat dinner, and the meal cost $40.00. If Sophia received a 35% discount, what was
total value of the discount?
$12.60
$14.00
$15.20
$16.80
Sub
Answer:
The total value of the discount is $14
Step-by-step explanation:
40 x 0.35 = 14
if john is 13 what will he be in 63 years
Answer:
76
Step-by-step explanation:
Answer: 76
Step-by-step explanation: may be dead
Need Help this is my test! I will mark you as brainliest if you answer!!!
The relationship between the number of hours traveled and the number of miles traveled on a
family road trip is graphed below.
750
15. What is the ratio of hours to miles?
675
600
525
16. How many miles could the family travel
in a period of 12 hours?
450
MILES
375
300
17. About how many hours will it take the family
to travel 700 miles?
225
150
75
Maneuvering the Middle LLC, 2015
1
2
8 9
3 4 5 6 7
TIME (HOURS)
Answer:
15) The ratio of hours to miles is 1 hour to 75 miles; 1/75
16) They will have traveled 900 miles.
17) It will take them around 9 hours.
Step-by-step explanation:
15) Finding the unit rate of the trend (which in this case I considered to be line) can be done by finding the slope and simplifying it. There is a constant linear slope in this graph so it was evident that as the x-values increased by 1, the y-values increased by 75. All you had to do was convert the values into ratio form which would be 1/75. The 1 should remain "numerator" and the 75 as denominator because it is the hour-to-mile ratio (the units were listed in thw instructions in the chronological order in which they were to be answered in ratio form; 1 hour to 75 miles).
16) You can set up an equivalent-ratios equation. Because we know that the unit ratio is 1 hour to 75 miles, and we were given the value of 12 hours, we can set up the equation like this: 1/75=12/x. I would then multiply the 75 miles by 12 so that the ratios will be proportionate. This gives me 900 miles. Now I know, based on the ratio 12 hours to 900 miles (12/900), that if the family travels for 12 hours, they will have traveled 900 miles.
17) We can do the same thing as we did in number 16. We just have to switch the value we use in the second ratio. This means that the equivalent-ratios equation will look like 1/75=x/700, because 700 miles is our given value as opposed to a value with a unit of hours, and miles are the denominators in these ratios. Now we have to see how many times 75 goes into 700 to figure out what to multiply the 1 by to get our proportionate ratios. We have to divide 700 by 75 which is roughly 9 (rounded down from 9.3). The ratio now reads: 1/75=9/700. This means that it will take the family around 9 hours to drive 700 miles (9 hours to 700 miles was the ratio).
Please help I need this
Answer:
B
Step-by-step explanation:
false
What is the 93rd term of the arithmetic sequence-11,-7,-3
Answer: 361
Step-by-step explanation: 4(the change) times 93 (the term u want) minus 11 (your starting number/term)
Determine the value of x.
BRAINLIEST TO HONEST ANSWER
In common app ,do teachers have to write letter of recommendation only once?? and I can submit it to any colleges I want??
A store owner offered a 25% discount off the regular price of a pair of shoes. The amount of the discount is $4.
What is the regular price of the shoes?
A $8
B $12
C $20
D $16
Answer:
D
Step-by-step explanation:
25% of 16 is 1/4x16=4, which leaves D as as your answer
Answer:
d
Step-by-step explanation:
instead of taking away 4 add it until you have 100%
which of the following rations will form a proportion with 2:3
Answer:
12/18
Step-by-step explanation: