Using continuous compounding and compound interest, it is found that Matthew would have $17 more than Elizabeth in his account.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
Continuous compounding:
[tex]A(t) = Pe^{rt}[/tex]
The parameters are:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.For both of them:
Investment of $970, hence [tex]P = 970[/tex]Invested for 8 years, hence [tex]t = 8[/tex]Elizabeth:
Compounded daily, hence [tex]n = 365[/tex].Rate, as a percent, of [tex]6\frac{5}{8} = 6 + \frac{5}{8} = 6.625[/tex], hence [tex]r = 0.06625[/tex].Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(8) = 970\left(1 + \frac{0.06625}{365}\right)^{365(8)}[/tex]
[tex]A(8) = 1648[/tex]
Matthew:
Rate, as a percent, of [tex]6\frac{3}{4} = 6 + \frac{3}{4} = 6.75[/tex], hence [tex]r = 0.0675[/tex].Then:
[tex]A(t) = Pe^{rt}[/tex]
[tex]A(8) = 970e^{0.0675(8)}[/tex]
[tex]A(8) = 1665[/tex]
The difference is:
1665 - 1648 = 17
Hence, Matthew would have $17 more than Elizabeth in his account.
A similar problem is given at https://brainly.com/question/24507395
Evaluate 62 - (12 – 2) when I = 3.
-
O A. 4
O B. O
O C. 3
O D. 12
Pls help guys !
Answer:
A. 4
Step-by-step explanation:
12 - 3 is 9
6^2 is 36
36/9 is 4
What is the measure of _____?
Answer:
112°
Step-by-step explanation:
3x+22+2x+8=180
5x+30=180
5x=150
x=30
3x+22
3(30)+22
90+22
112
X-5/-2=x-1/-3 help pls
Answer:
0=-13/6
Step-by-step explanation:
Answer:
x= -15/8
0r
x= -1.875
or
x= -1 7/8
they are all correct
Step-by-step explanation
12. The number of miles, y, traveled varies directly as time, x. If a group of tubers floating down the river traveled 9 miles
in two hours, how far would they travel in 5 hours? Write and solve a direct variation equation for this situation
y= 9/2x; x=10/9
y=2/9x; x=22.5
y=2/9x; y=10/9
Oy=9/2; y=22.5
Answer: y=2/9x; x=22.5
Step-by-step explanation:
Float speed is 9 miles/2 hours, or (9/2) miles/hour (mph).
Distance,y = (Speed)*(Time, x)
y = (Speed)x
y = (9/2)x
If x = 5 hours,
y = (9/2)*5, or 22.5
y=2/9x; x=22.5
Find the highest common factor and lowest common factor of 78 and 130
Shown method would be great thankss :))
Answer:
The GCF is 26 and the least common factor is 390
Step-by-step explanation:
The GCF is 26 because 2, LCF is 390 because 78x5 equal 390 and 130x3=390.
Solve the problem.
Determine the resultant effect of three people pulling on a car as shown in the drawing
a = 75.0 lb, b = 77.0 lb, c = 52.0 lb, d = 32°, e = 22°
How would I go from 22 to 11 in my table?
Divide by 2.
Multiply by 2.
Multiply by 22.
Divide by 22.
WILL MARK BRAINLY
Answer: divide 2
Step-by-step explanation:
pls help asap MIDSEGMENTS
Answer:
Angle 5=60°
Step-by-step explanation:
Angle 4 = 180°-116° (adj angles on a str line)
= 64°
Angle 5 = 180°-64°-56° (angle sum of triangle)
= 60°
Answer:
<5 = 60 degrees
Step-by-step explanation:
<4 = 180-116 = 64 degrees
64 + 56 + <5 = 180 degrees
<5 = 180-56-64
A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will NOT choose a blue
marble?
Answer:
No of sample space , n(s) = 12 + 11 + 17 + 5 = 45
No of favorable cases , n(e) = 17
Probability of getting blue marble ,
P(e) = n(e)/n(s)
= 17 / 45
NOW
Probability of not getting blue marble,
P'(e) = 1 - p(e)
= 1 - 17 / 45
= ( 45 - 17)/45
= 28 / 45
Hope it helped :)
Step-by-step explanation:
Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Chloe's birthday.
Answer:
3 chocolates each night
Step-by-step explanation:
C-3
t-1
There are 199 green marbles and 199 red marbles in a bag. How many marbles must be chosen to be certain we have the following. Four red or three green?
Answer:
203 for four red and 202 for three green.
Step-by-step explanation:
Consider the worst possible choice. If you want four red then imagine the worst possible case. That'd be picking all 199 marbles before any red, and after you pick all 199 green marbles you still need four red, and 199+4=203. For green, do the same thing and you get 199+3=202
There are 203 for four red and 202 for three green.
Given that,
There are 199 green marbles and 199 red marbles in a bag.Based on the above information, the calculation is as follows:
Since there is 4 red or three green.
So,
We can solve like
= 199 + 3
= 202
And,
= 199 + 4
= 203
Therefore we can conclude that there are 203 for four red and 202 for three green.
Learn more: brainly.com/question/16115373
Hi, How do I do this?
Answer:
3and3 4and 2 5and1
Step-by-step explanation:
3 is the coordinate of 3 4is the coordinate of 3 5is the coordinate of 1
5. Do you find similarities between the rules of adding & subtracting dissimilar fractions and
adding & subtracting dissimilar rational algebraic expressions?
Answer:
First, we will change dissimilar fractions into similar fractions by finding the least common denominator. Second, add them like similar fractions. And then finally, convert the answer in the lowest term. Example No.6 Subtract 3/4 from 4/5. What will be our least common denominator? The least common multiple of 5 and 4 is 20. That was an Example
Step-by-step explanation:
What is four thirds -2/5
Answer:
14/15
Step-by-step explanation:
You need to find the Least Common Multiple for the denominator to add. LCM of 3 and 5 would be 15. You multiply 5 to 3 to get 15 and 3 to 5 to get 15. You would multiply the numerators by the same number. 4x5=20 and 2x3=6. 20/15-6/15=14/15
Can someone help please no links
Answer:
-4 or 4 I would have to go with-4!!
Step-by-step explanation:
I hope this helps in any way!!
may someone please help me solve the inequality
-4 (x - 2) + 5 < 9
Answer:
[tex]\huge\boxed{x > 1}[/tex]
Step-by-step explanation:
-4(x - 2) + 5 < 9
Subtract 5.
-4(x - 2) < 4
Divide by -4 (Flip the sign when dividing by a negative number).
x - 2 > -1
Add 2.
x > 1
Hope it helps :) and let me know if you want me to elaborate.
Answer:
x>1
Step-by-step explanation:
I had that same question hope that helped
BRAINLIEST
Solve for X. Round to the nearest tenth.
Answer:
Question=Q
Q8=60.1
Q9=
Three numbers are in the ratio 3.5 7. If the largest number is multiplied by 3, the result is 26 more than the sum of the first and second numbers. Use an algebraic
solution to find the numbers
Answer:
6,10,14
Step-by-step explanation:
Find the measure of each angle indicated.
Please show your work
help me pls with my geometry
Answer:
answer in pic above
Step-by-step explanation:
did this over thrice before coming to the right answer lol
i hope it helps you xxx
An operation is defined as p*q=-5q+p2 evaluate. 2*(7*3)
Answer:
- 166
Step-by-step explanation:
First step is to evaluate 7*3
7*3 ( with p = 7 and q = 3 )
= - 5(3) + 7²
= - 15 + 49
= 34
Now evaluate
2*34 ( with p = 2 and q = 34 )
= - 5(34) + 2²
= - 170 + 4
= - 166
Carey and Patrick both borrowed money from Melinda. Carey owes Melinda $25.00. Patrick owes Melinda 3/4 the amount that Carey owes. How much does Patrick owe Melinda?
Answer:
$18.75
Step-by-step explanation:
multiply 25 * 3/4 ( 0.75) and you get 18.75
here is a screenshot please help 15 points
[tex]\sqrt{54} \times \sqrt{54}[/tex]
Answer:
19.9202745546
Step-by-step explanation:
54 will be your answer...
Which relation is a function?]
NO LINKS
Answer:
first one
Step-by-step explanation:
use the vertical line test, and the first one is a quadratic function
Answer:
The first one.
Step-by-step explanation:
By using the vertical line test, you can see that the first one is the only relation that's input's go to only one output.
Make b the subject of P = 1/2 a b² + c where b is positive. (3 marks)
help me with this problem
Answer:
ñññññññññ
Step-by-step explanation:
11/9/2001
TRUE OR FALSE , When you divide the numerator of a fraction by the denominator you always get a terminating decimal?
Answer: false.
Step-by-step explanation:
it's only a terminating decimal if you end up with a remainder of 0.
the table shows the price x (in dollars) of a product at several different stores and the profits y (in dollars) generated by seeing the product. use a graphic calculator to write a function that models the data. Round each value in your function to the nearest hundredth. The equation is y=___
Regression equations are used to represent the relationship between the x and y variables.
The regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
Using a graphing calculator, we have the following parameters
Sum of x: [tex]\mathbf{\sum x = 269}[/tex]Sum of y: [tex]\mathbf{\sum y = 3170}[/tex]Mean of x: [tex]\mathbf{\bar x = 38.4286}[/tex]Mean of y: [tex]\mathbf{\bar y = 452.8571}[/tex]Sum of squares: [tex]\mathbf{SS_x = 1679.7143}[/tex]Sum of products: [tex]\mathbf{SP = -648.5714}[/tex]The regression equation is represented as:
[tex]\mathbf{y =bX +a}[/tex]
Where:
[tex]\mathbf{b = \frac{SP}{SS_x}}[/tex] and [tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
So, we have:
[tex]\mathbf{b = \frac{-648.5714}{1679.7143}}[/tex]
[tex]\mathbf{b = -0.39}[/tex]
Also, we have:
[tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
This gives:
[tex]\mathbf{a = 452.8571 - (-0.39 \times 38.4286) }[/tex]
[tex]\mathbf{a = 467.84}[/tex]
Substitute values for (b) and (a) in [tex]\mathbf{y =bX +a}[/tex]
[tex]\mathbf{y =-0.39X +467.84}[/tex]
Hence, the regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
See attachment for the scatter plot
Read more about regression equations at:
https://brainly.com/question/7656407
I need answers for number 1.
Answer:
11^9
Step-by-step explanation: