Answer:
B.66
hope this helps you!!
Elizabeth invested $970 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded daily. Matthew invested $970 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded continuously. After 8 years, how much more money would Matthew have in his account than Elizabeth, to the nearest dollar?
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
What is 5261.436 rounded to the nearest thousand?
Answer:
5261.436 would be the answer
Plzzz help I’ll give u 30 pts
Answer: number 4 is +(positive) because the exponent is even.
Number 5 is -(negative) because the exponent is odd.
Step-by-step explanation:
7) Solution:
→ (2)³
→ 2 × 2 × 2 {Expanded form}
→ +8
Ans: Positive
4) Solution:
→ (-6)⁴
→ -6 × -6 × -6 × -6
→ +1296
Ans: Positive
5) Solution:
→ (-3)⁷
→ -3 × -3 × -3 × -3 × -3 × -3 × -3
→ -2187
Ans: Negative
A machine cuts a strip of carpet into 2 pieces. the length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (A, 13.5 B, 14 C, 20 D, 28) meters and the total length of the carpet is (A- 25.5, B- 26, C- 32, D- 40) meters
Answer:
The answer to the is 28 and 40! hope this helps love
A phone is regularly priced at $350. If you get it on sale for 15% off, how much do you pay?
Solve for x in ½ logx64 = 3
(A)
2
(B)
1
(C)
4
(D)
3
Answer:
A
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] = n logx
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]\frac{1}{2}[/tex][tex]log_{x}[/tex] 64 = 3
[tex]log_{x}[/tex][tex]64^{\frac{1}{2} }[/tex] = 3
[tex]log_{x}[/tex] 8 = 3
8 = x³
2³ = x³ , then
x = 2
(a−2b)^3 when a=−4 and b=−1\2
Answer:
- 125
Step-by-step explanation:
Sin x= cos y show that x+y=90
Answer:
just do sinx and cos y equal when x=y= multiple of pie by 4
Step-by-step explanation:
pie by 4 plus pie by 4 = 90
If I helped please mark brainliest it means a lot to my progression! <3 Thanks!
Solve the quadratic equation 2x + x-7 = 0
Give your answers to 2 decimal places.
[tex]\text{Its not a quadratic equation but the answer is 2.33}[/tex]
i need help with how to reason it
Answer:
X=80
Step-by-step explanation:
As 100⁰ is Opposite to B and AD and EH Are PARALLEL so B=100⁰
180-100
=80⁰
MARK ME BRAINLIESTPlease help me with this homework
Answer:
wow. at this point just guess
Step-by-step explanation:
Which of the following lists of ordered pairs is a function?
A. (3, –2), (2, –1), (3, 4), (4, 7)
B. (0, 4), (1, 2), (1, 0), (2, 3)
C. (2, 5), (3, 8), (4, 11), (4, 12)
D. (1, 7), (2, 5), (3, 6), (4, 1)
Answer:
D
Step-by-step explanation:
In this case, we can define a function as a "relation and the set of ordered pairs that doesn't contain 2 pairs with matching components"
In A above, (3,-2), (2,-1), (3,4), (4,7)
There is a repeat of 3 in both (3, -2) and (3,4) so this can't be considered a function.
B. (0, 4), (1, 2), (1, 0), (2, 3)
There is a repeat of 1 in both (1, 2) and (1, 0), so this is not a function.
C. (2, 5), (3, 8), (4, 11), (4, 12)
4 is repeated in (4, 11) and (4, 12) so this cancel out its probability of it being a function.
D. (1, 7), (2, 5), (3, 6), (4, 1)
D. (1, 7), (2, 5), (3, 6), (4, 1)There is no repeat of components, so this is considered a function.
Mira weighed 9 lb 4 oz and lost 2 lb 12 oz. How much did she weigh now?
Answer:
6.5lb or 6 lb 8oz
Step-by-step explanation:
At the produce store you can buy 5 bags of bananas for $23.15 . How much would it cost if you were to buy 6 bags?
Answer: $26.16
Step-by-step explanation:
23.15 / 5 = 4.63
4.63 x 6 = $26.16
help me it would be nice if you could help me
Answer: B (x=1)
The x-axis shows all the zeros (solutions).
If you were trying to find the slope and the equation of the line, you would go y/x for the slope.
While, b is the y axis, which is 3 in this case.
And the slope is 3/1, which is rise over run (y/x)
Linear equations: y = mx+b
Quadratic equation: ax^{2}+bx+c
(Not going to go in much more depth)
The equation of this line is y = 3x + 1
Anna wants to bake $2\frac{1}{2}$ dozen cookies for a party. However, the recipe she has only makes a dozen cookies. If the original recipe calls for $1\frac{1}{4}$ cups of sugar, how many cups of sugar does she need to make the cookies for her party?
answer..............................
Answer:
yes
Step-by-step explanation:
HELPPPPPPPPP
A: 5 units
B: 4 units
C: 3 units
D: 2 units
Answer:
Its 5 units why its simple X and Y is in a strait line which mean you measure it and divide it by 3.14 which is pie you get your answer.
Step-by-step explanation:
mark brain if im correct :D
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4
of
the drink iS apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple
juice to orange juice in its simplest form.
Answer:
7/20 cranberry
Step-by-step explanation:
Answer:
7/20 is the answer
Step-by-step explanation:
math!!
Evaluate. 12⋅(1/4+1/3)2+2/3 enter your answer as a mixed number
Answer:
14 2/3
Step-by-step explanation:
i took the test
− 11/12 + p = 1/6
what does p =
Answer:
13/12
Step-by-step explanation:
p=1/6+11/12=(2+11)/12=13/12
PLS HELP WILL MARK BRAINLIEST!
Answer:
it's b
Step-by-step explanation:
because it is sum and difference of 3x and 5
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = 5x - 2
Step-by-step explanation:
y = mx+b
Answer:
y = -5x-2
Step-by-step explanation:
Use slope and y intercept to place the equation into slope intercept for (y=mx+b)
Which function has the smallest y-intercept value?
A
у
4
4
h(x)
2.
X
- 2
2.
4
+2
4
OB.
(x) =
= 2 + 10
A linear function, f, with an x-intercept of 3 and a y-Intercept of 6.
OC.
OD.
х
1
2
3
4
g(x)
1
-4
-9
-14
Answer:
Could you... put it normally?
Step-by-step explanation:
It's kinda confusing to read, so much understand
Hello everyone, I was wondering what 50+8x2 is for my project that I am doing. Thanks
Answer:
66
Step-by-step explanation:
Multiplying 8 by 2 which gives you 16.
Then 16 Add 50 = 66
where the mathematicians at ☺️
Answer:
C.
Step-by-step explanation:
It is correct because the line on the graph goes up (increases) then it goes back down (decreases)
Answer:
The graph increases, then decreases
Step-by-step explanation:
The graph goes up, showing it increases, then drops down, showing it decreases.
Hope this helps!
Find the values of x and y, and z
Answer:
z = 15
y = 8
x = 7
Step-by-step explanation:
All of the angles added together equal 180.
4z + 4z + 4z = 180
z = 15
3y - 1 = 23 ( all sides equal each other because all angles equal each other )
y = 8
2x + 9 = 23 ( similar to how I found y )
x = 7
I hope this helps!!
Wayne took his family out to dinner. The cost of the food was $42.50. Wayne decided to give a 30% tip because of excellent service. The tax was 4% of the cost of the food. What was the total amount the meal cost him?
Answer:
$56.29
Step-by-step explanation:
write a linear function
Answer:
The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.
Step-by-step explanation:
what is this anyone know?