Answer:
It would take 12.1 years.
Step-by-step explanation:
We are given with $3000 invested in bank pays 6.75% interest compounded semi annually to the nearest 10th. We are asked to find the number of years the bank reaches $6700.
Let's use the compound interest formula.
[tex]A= P(1+\frac{r}{n}) ^{nt}[/tex]
We know A=6700
P=3000
r =0.0675
n=2(because compounded semiannually)
t =?( we need to find it)
Plug in the known values into the formula.
[tex]6700=3000(1+\frac{0.0675}{2}) ^{2*t}[/tex]
Simplify and solve for 't'
Divide both sides by 3000
[tex]2.23333= (1.03375)^{2t}[/tex]
Take log on both sides
[tex]log(2.23333) = 2t log(1.03375)[/tex]
Divide both sides by log(1.03375)
24.2067=2t
Divide both sides by 2.
t=12.10...
To round to nearest 10th, we get t=12.1 years.
Which set of ordered pairs does not represent a function?
A.{(-3,7), (-6, -6),(-2, -9), (-2,9)}
B. {(7,-5), (-9,-5),(-4,-8), (-2,-4)}
C. {(-8,-5), (0,–2),(-3, -2), (4,5)}
D.{(8,8), (7,9), (-3, -8),(4, -8)}
Answer:
a.
Step-by-step explanation:
Which expression is equivalent to 210d 2 − 63d ?
Answer:
Step-by-step explanation:
21d(10d+3(
The expression which is equivalent to 210d² − 63d is; 21d(10d- 3).
Factorization of ExpressionsFrom the given expression;
210d² − 63dA factor which is common to both terms of the expression is; 21d.
On this note, the factorisation of the expression yields;
21d(10d- 3).Read more on factorisation;
https://brainly.com/question/25829061
HELP PLZ THIS IS 40% OF MY GRADE
Answer:6
Step-by-step explanation:
Pls help (have a good day Jesus loves you )
Answer:
512
its definitely not 6561
pls hurry what is the area if the parallelogram that has a base of 10 cm longer and a height of 7 inches taller than the parallelogram shown
Answer:
Area=bh
10.5 in^2 =(3/4 in) (h in)
h=10.5/(3/4)=10.5/.75=14 in
Height = 14 in.
find the lenght of side a will give crown
Answer:
D) 4
Step-by-step explanation:
Pythagorean theorem,
base² + altitude² = hypotenuse²
3² + altitude² = 5²
9 + altitude² = 25
altitude² = 25 - 9
altitude² = 16
altitude = √16 = 4
Linda goes out with her friends. If the bill is 38.50 and they want to leave a 20% tip, how much should the tip be?
Answer:
7.70
Step-by-step explanation:
100%-> 38.50
20% ->7.70
Evaluate f(x) = 5x – 8 when 8 when I = -3.0, and 4.
Answer:
f(3)=3
Step-by-step explanation:
Plugin 3 for x, and simplify
f(x) =5(x)−12
f(3) =5(3)−12
=15−12
f(3)=3
A and B are two similar shapes the area of shape A is 200cm2 calculate the area of shape B
Answer:
Area of shape B = 312.5 cm²
Step-by-step explanation:
Ratio of Area of A : Area of B = 12² : 15²
Given that area of A is 200 cm², let the area of shape B = x
Therefore:
200:x = 12²:15²
200/x = 144/225
Cross multiply
144x = 200*225
144x = 45,000
x = 45,000/144
x = 312.5 cm²
Area of shape B = 312.5 cm²
I NEED HELP I WILL GIVE BRAINLIEST
Answer: 36
Step-by-step explanation:
were my brainliest
1. Determine the area of the rectangle below.
73 m
15 m
Formula:
Plug in Values:
Area:
Answer:
73 M
Step-by-step explanation:
because you do the sides by times AND ITS 73m
❗️PLEASE HELP ❗️
Bill makes 30 flags in 3 3/4 hours. How many flags can Bill make in 3 hours
Answer:
30/ 15 = 2, 2 * 12 = 24 Answer: 24 flags
Step-by-step explanation:
I split it up into 1/4’s. Hope you get at good score.
Mrs. Lynch has noted that 7 out of every 10 pieces of mail she gets are junk mail. What percent of her mail is junk?
Answer:
70%
Step-by-step explanation:
Any thing out of ten would be any ten out of a hundred. Just move the decimal back two places and you get 70%
Add.
10.452 + 6.3
Enter the exact sum
Answer:
10.452+6.3
=10.452+6.3
=16.752
Step-by-step explanation:
1,128= 6(x+18) please answers
i
need
Answer:
56
Step-by-step explanation:
Answer:
=6876
Step-by-step explanation:
6(1128+18)
Evaluate: ¼ (6² +3 x 4)+| - 7|
What is another way to express this problem
Answer:
It would be 16(3+2)
Step-by-step explanation:
Because, 16 times 3 is 48, Then 16 times 2 is 32. You add them then you get 80, which is the same answer as the original problem
The length of a garden is 23m, correct to the nearest metre.
Write down the least possible length of the garden.
Answer:
22.5m
Step-by-step explanation:
Since it's correct to the nearest metre, it has an interval of ± 0.5
Using rounding concepts, it is found that the least possible length of the garden is of 22.5m.
------------------
If the first decimal digit is between 0 and 4, rounding to the nearest integer, the integer part remains the same.If the first decimal digit is between 5 and 9, rounding to the nearest integer, one is added to the integer part.Thus, in the context of this problem, garden lengths between 22.5 and 23.4 are rounded to 23m, and thus, the least possible length of the garden is 22.5m.A similar problem is given at https://brainly.com/question/13241511
The top of a coffee table is in the shape of a rectangle,
The length of the top of the coffee table is 3.5 feet and
the area is 105 square feet. What is the width of the top
of the coffee table
Answer:You would need to do 10.5/3.5. This equals 3ft
Step-by-step explanation:
Can someone Please answer some of these questions Please ASAP Thank you:)) (20 points)
Answer:
for #1 it's 1, 4, 5, 6
for #2 it's both lines have the same slope
for #3 it's both lines have a different y-intercept
Step-by-step explanation:
#1 explanation: all of them have the y-intercept of -8
ex. y = 3x (- 8) y = 5x (-8) y = 2x (-8) y = (1/3)x (-8)
#2 explanation: both have a slope of (1/4)
#3 explanation: y = (1/4)x there is not y-intercept that we know of and y = (1/4)x - 5 the y-intercept is at -5 therefore the y-intercepts are different
15+2.5(2x+4)
PLease help!
Answer:
Step-by-step explanation:
5x+25
what is the area of the shaded part?
Answer:
Step-by-step explanation:
(8x-3)^2-x^2
64x^2-48x+9-x^2
63x^2-48x+9
MATH HELP!! ASAP!!! MARKING BRIAINLIEST!!
Answer:
18 meters.
Step-by-step explanation:
The ratio is 1cm:2m, so for every centimeter, you multiply it by 2 and convert it to meters. So, 9 cm time 2 equals 18 and then add meters, so 18 meters.
(hope this helps :P)
PLZ HELP ME WITH THIS QUESTION!
Suzane can work 10 math problems in 15 minutes. How many can she work in an hour and a half? help
Answer:
60 math problems
Step-by-step explanation:
15 minutes fits into an hour and a half (90 minutes) 6 times
So we simply multiply what she can do in 15 minutes (10 math problems) by 6
10 x 6 = 60
So Suzanne can do 60 math problems in an hour and a half
The Hokies family spends 600$ Per month on groceries for their family if this is 15% of their monthly budget then what is their monthly budget
Answer:
4000
Step-by-step explanation:
15%-> 600
100%-> 4000
Write the numerical expression in words.
(10-1) divided by 3
10+(5-3)
(7+3)x5
Step-by-step explanation:
ten minus one divided by three
ten plus five minus three
seven plus three times five
2/p + 3 p = 3/5. plz answer quick
Answer:
Not possible
Step-by-step explanation:
2/p + 3p=3/5 is impossible because p can't equal the same thing.
Two airplanes leave the airport at the same time. One plane is flying 700mph at a bearing of N46°W and the other plane is flying 895mph at a bearing of
N43° E. After 3 hours, how far are the planes from one another?
9514 1404 393
Answer:
3380 miles
Step-by-step explanation:
The distance separating the planes can be found using the law of cosines. One plane has gone 3×700 = 2100 miles; the other has gone 3×895 = 2685 miles. The angle between their flight paths is 46°+43° = 89°. Then the separation (s) is ...
s² = 2100² +2685² -2(2100)(2685)cos(89°) = 11,619,225 -11,277,000×0.01745
s² ≈ 11,422,414.21
s ≈ √11,422,414.21 ≈ 3379.7
The planes are separated by about 3380 miles after 3 hours.
NEED HELP ASAP!!! 50 POINTS!!! WILL MARK BRAINLIEST
2. The following triangle, ∆, has angle measures as shown.
Step 1: What is the measure of angle C? Show your work.
Step 2: What is the value of x? Show your work.
Answer:
x=29. Angle C= 93
Step-by-step explanation:
3(x+2)= 3x+6.
3x+6+52+35= 3x+93.
180-93=87.
87/3= 29. So that means x=29.
for proof you can do 3(29)+93 and you'll get 180.
For angle C; 3(29+2)= 3x31. 31x3= 93.
Angle C= 93 degrees.