Answer:
1
3
4
Step-by-step explanation:
A person invests 3000 dollars in a bank. The bank pays 4.25% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5600 dollars?
Answer:
The person must leave the money for approximately 14.8 years.
Step-by-step explanation:
This can be calculated using the formula for calculating the future value as follows:
FV = PV * (1 + r)^n …………………………………. (1)
Where;
FV = Future value of the investment = 5600
PV = Present value of the investment = 3000
r = semiannual interest rate = 4.25% / 2 = 0.0425 / 2 = 0.02125
n = number of semiannuals = ?
Substitute the values into equation (1) and solve for n, we have:
5600 = 3000 * (1 + 0.02125)^n
5600 / 3000 = 1.02125^n
1.02125^n = 1.86666666666667
Loglinearizing both sides, we have:
nlog1.02125 = log1.86666666666667
n = log1.86666666666667 / log1.02125
n = 0.271066772286539 / 0.0091320695404719
n = 29.6829509548973
Since n is number of semiannuals, we divide the answer by 2 obtain the number of years as follows:
Number of years = 29.6829509548973 / 2 = 14.8414754774487
Rounding to the nearest tenth of year, we have:
Number of years = 14.8
Therefore, the person must leave the money for approximately 14.8 years.
Your employees spend 50% of their time walking around your shop, and you find you can improve workflow to reduce walking distances by 20%. If your payroll is about $11,000 per week, what is a good estimate of the annual economic impact of improving workflow?
Answer:
Step-by-step explanation:
57,200
there are 12 boys and 8 girls in the french club.
1) what is the ratio of boys to girls?
A. 2:5
B. 3:5
C: 2:3
D: 3:2
2) what percent of the members of the french group are girls?
A) 8%
B) 40%
C) 60%
D) 75%
Answer:
1)
D. 3:2
2)
B. 40%
as, no. of girls=8
total no. of students =12+8=20
now,
percentage of girls=no.of girls/total no. of students ×100%
=8/20×100%
=40%
What’s the answer???
Answer:
i'm not sure what is it ?
Step-by-step explanation:
Christine's middle school total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teacher ratio propotional to the middle school's. How many students find when she gets to high school
Answer:
2,200
Step-by-step explanation:
From the above, we were given that;
Total students in Christine's middle school = 900
Teachers in Christine's middle school = 45 teachers
Local high school = 110 teachers
Then, we can write an equation ratio and solve it.
900 students / X = 45 teachers / 110 teachers
If we cross multiply, we'll get
900 × 110 = 45 × X
45X = 99,000
Divide both sides by 45
45X/45 = 99,000/45
X = 2,200
Therefore, Christine would find 2,200 students when she gets to high school.
Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350.
Answer:
The percent of interest is 12.3% per year
Step-by-step explanation:
According to the question Elwood invested 5000 $ in market account
The market account gives the compound interest annually
let p be the interest per year then
At the end of 1st year
amount =(1+0.p) x 5000 = 1.p x 5000
similarly at the end of 2nd year
amount =(1+0.p) x(1+0.p)x 5000 = [tex](1.p)^{2}[/tex] x 5000
similarly at the end of 3rd year
amount = 7100 $ = [tex](1.p)^3[/tex] x 5000
⇒ [tex]\frac{71}{50}[/tex] = [tex](1.p)^3[/tex]
1.392 = [tex](1.p)^3[/tex]
on further solving we get
1.p = [tex](1.42)^{1/3}[/tex] = 1.123
thus 1.p = 1 + 0.p = 1.123
thus p = 0.123
thus the percent of interest is 12.3% per year
Answer:
drop down 1 a slower rate per year
drop down 2 670
Step-by-step explanation:
as in three years you get $7100
you take that and subtract it by your starting amount (5000)
7100-5000= 2100
then divide 2100 by the number of years (3)
to get your annual rate of 700$
then you take the 8 year total and subtract it from your 3 year total
10350-7100= 3250
Then divide that by 5 because that how many years it has been
to get the annual rate of 650
making the 5 year rate slower.
The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000
10350-5000= 5350
then take 5350 and divide it by the number of years (8)
you then get you average rate of 668.75
668.75=670
Hope this helps!
Solve pls
for the function -2x²+x+1 find f(3)
Answer:
f(3) = -14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -2x² + x + 1
f(3) is x = 3
Step 2: Evaluate
Substitute: f(3) = -2(3)² + 3 + 1Exponents: f(3) = -2(9) + 3 + 1Multiply: f(3) = -18 + 3 + 1Add: f(3) = -15 + 1Add: f(3) = -14How would you divied 15 in half. If you answer, i will revial 2 things
Answer:
7.5
Step-by-step explanation:
I will give you the brainlist and 5 stars if you answer this. This is for simple probability.
A refrigerator has a variety of drinks. The contents are shown below. if one drink is picked randomly, then which of the following is NOT true. This is the content:
Drinks: Quantity:
Water - 14
Cola - 28
Lemonade - 7
A. You are twice as likely to select a cola than a water.
B. You are half as likely to select a lemonade than water.
C. You are more likely to select a cola than a water or a lemonade.
D. You are twice as likely to select a water than a cola.
Answer:
d is false
Step-by-step explanation:
water = 14 and cola is 28
you are half as likely to select a water than cola
WILL GIVE BRAINLIEST !! Ella needs at least $360 to pay for her spring break expenses and she is saving $25 from each of her weekly paychecks. How long will be before she can pay for her trip?
Answer:
At least 15 weeks
Step-by-step explanation:
If Ella needs at least $360, she will have to save her $25 constantly for about 15 weeks.
25*15=375, which is more than 360, so she will have leftover money.
Answer:
2 weeks + 1day
Step-by-step explanation:
7 days a week. 7 + 7 = 14
25 x 14 = $350, missing another 10 dollars.
25 x 15(adding a extra day) = 275.
in change, you have 15 dollars left.
Martha estimated there were 91 marbles in a jar for a contest. The actual number of marbles in the jar was 113. What was the percent error of Martha's estimation?
A. 24.18%
B. 80.53%
C. 22%
D. 19.47%
Answer:
D. 19.47
Step-by-step explanation:
91/113 = 80.53
100.00-80.53 = 19.47
Answer:
19.47% to the nearest hundredth.
Step-by-step explanation:
Value of the error = 113 - 91 = 22.
Percent error = (22/113) * 100
= 19.47.
this is all i ask, just please give me the answer
Answer:
92
Step-by-step explanation:
161 divided by 7 is 23. so you just multiply 4 by 23. And that gets you the answer. Hope this helps:)
Answer:
x=92
Solve for x by simplifying both sides of the equation, then isolating the variable. hopes this helps have a great day <3 :)
can someone help me pls
identify like terms 2d 5f 2g 7 3g g
Answer:
Step-by-step explanation:
The degrees of the terms in the order given are 2, 4, 1, 3, 0. The second-highest of these numbers is 3, and the corresponding term is ...
B: -g^3
(3g+5)(2g-7)
(3g+5)(2g-7)=6g²-21g+10g-35 = 6g²-11g-35
I low key need halp. Very soon, please send halp. :>
Can somebody help me thank you.
Answer:
perimeter of the following figure will be equal to 440 miles.
Step-by-step explanation:
perimeter refers to measure of total boundaries of a figure
hence perimeter will be the sum off all sides
so , P = 170 + 30 + 160 +80 = 440 miles
i hope u got it.
have a great day .
A wheel makes 35 revolutions per min. How many revolutions does it make per second?
The wheel makes revolutions per second.
(Type an integer or a simplified fraction.)
Answer:
7/12 revolutions per second
The wheel makes revolutions per second is 7/12.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a wheel makes 35 revolutions per min.
Here,
35/1 minute × 1 minute/60 seconds
= 35/60
= 7/12 revolution per second
Therefore, the wheel makes revolutions per second is 7/12.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
Select the three situations that model a sum of zero.
Explain your answer.
Answer:
Step-by-step explanation:
1,2,4
Which is the most accurate way to estimate 52% of 63
help???????
dhdjdjmsjd
Answer:
1/2 over 7/8
Step-by-step explanation:
becauseim smartt
Answer:
the bridge is 90ft long.
Step-by-step explanation:
3/18=15/x
solve for x
use reciprocals to get x as numerator for easier calculation
18/3=x/15
270/3=x
x=90ft
What is the value of the expression 5ab - 2c, where a = 2, b = 3 and c=0?
A 8
B 28
C 30
D 503
Answer:
30
Step-by-step explanation:
5*2*3-2*0 ( when we multiply any number with zero then the result is also zero)
30-0
30
Skyler has twice as many apples in her grocery bag as her
friends Macy and Janelle combined. Macy has 15 apples
in her bag. Skyler has 50 apples in her bag. How
many apples does Janelle have in her grocery bag?
The equation 2(x + 15) = 50 models this situation. Which choice shows the
sequence of operations needed to solve this problem, using both arithmetic
and algebra?
A. Subtract 15 divide by 2 X = 35/2
B. Subtract by 15 divide by 2 X = 10
C. Divide by 2 subtract by 15 X = 10
D. Divide by 2 subtract by 15 X = 35/2
Answer:
Step-by-step explanation:
It's C.
4(4x -4) + x +4= -46
Answer:
X=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(4x−4)+x+4=−46
Step 1: Simplify both sides of the equation.
4(4x−4)+x+4=−46
(4)(4x)+(4)(−4)+x+4=−46(Distribute)
16x+−16+x+4=−46
(16x+x)+(−16+4)=−46(Combine Like Terms)
17x+−12=−46
17x−12=−46
Step 2: Add 12 to both sides.
17x−12+12=−46+12
17x=−34
Step 3: Divide both sides by 17.
17x
17
=
−34
17
x=−2
Answer:
x=−2
Answer:
x=2
Step-by-step explanation:
Hope this helps!! If you need step by step I'll comment it in the comments.
What does this equal me nor my brother can figure this out
Answer:
2 14/18
Step-by-step explanation:
because you just multiply the numerators and denomitors you must make an improper fraction first though
Does anyone know this??? I need help please
Answer:
32
Step-by-step explanation:
QC = 16 and CS = 16 so 16 + 16 = 32
for the function -2x²+x+1 find f(3)
Answer:
-14
Step-by-step explanation:
Plug 3 in for x
-2 (3)² + 3 + 1
-2 (9) + 3 + 1
-18 + 3 + 1
-14
Answer:
f(3) = -14
Step-by-step explanation:
[tex]f(x)=-2x^{2} +x+1\\f(3)=-2(3)^2+3+1\\f(3) = -2(9)+4\\f(3) = -18+4\\f(3) = -14[/tex]
How would you solve this?
Answer:
For the equation, you should subtract 2x on both sides to get -y = -2x - 4. Flip the y's negative sign to get a proper function which is y = 2x + 4. The y-intercept is at (0, 4) and each unit will move two units up along the x-axis.
[tex]y - 2x = 7[/tex]
how do i solve this?
hii please please help i’ll give brainliest if you give a correct answer tyyyyy
Which is an example of a statistical question?
|
|How old am 1?
How old is the teacher?
How old will I be after my next birthday?
How old are the students ín math class?
Answer:
Question 4 is a statistical question aka answer D
Step-by-step explanation:
Correct on edge