Its really easy D and E i took the test
Answer:
d e
Step-by-step explanation:
Lily invested $60,000 in an account paying an interest rate of 6 1 2 6 2 1 % compounded continuously. Lydia invested $60,000 in an account paying an interest rate of 6 1 8 6 8 1 % compounded monthly. To the nearest hundredth of a year, how much longer would it take for Lydia's money to triple than for Lily's money to triple?
Using interest equations, it is found that it will take 1.08 year more for Lydia's money to triple than for Lily's.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
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.What is the amount in continuous compounding?It is given by:
[tex]A(t) = Pe^{rt}[/tex]
For Lily, the parameters are as follows: r = 0.065, with continuous compounding. The time to triple is t for which A(t) = 3P, hence:
[tex]A(t) = Pe^{rt}[/tex]
[tex]3P = Pe^{0.065t}[/tex]
[tex]e^{0.065t} = 3[/tex]
[tex]\ln{e^{0.065t}} = \ln{3}[/tex]
[tex]0.065t = \ln{3}[/tex]
[tex]t = \frac{\ln{3}}{0.065}[/tex]
[tex]t = 16.90[/tex].
For Lydia, using compound interest, the parameters are: r = 0.06125, n = 12, hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]3P = P\left(1 + \frac{0.06125}{12}\right)^{12t}[/tex]
[tex](1.00510416667)^{12t} = 3[/tex]
[tex]\log{(1.00510416667)^{12t}} = \log{3}[/tex]
[tex]12t\log{(1.00510416667)} = \log{3}[/tex]
[tex]t = \frac{\log{3}}{12\log{(1.00510416667)}}[/tex]
[tex]t = 17.98[/tex]
17.98 - 16.9 = 1.08, hence, it will take 1.08 year more for Lydia's money to triple than for Lily's.
More can be learned about interest equations at https://brainly.com/question/25781328
12——4
24——8
36——12
48——
What number complete the sequence
Answer:
I think it's 16
Step-by-step explanation:
your adding 4
Evaluate the expression 2x2 - y + 3x" for x = 3 and y = 7.
o 14
098
оо
0 12
032
The expression to be evaluated:
➝ 2x² - y + 3xFor,
➙ x = 3➙ y = 7First step in evaluating an expression is to substitute the given value of variable into the expression. Then you can finish evaluating the expression using arithmetic.
On putting the values of x and y in the given expression:
ㅤㅤ➝ 2x² - y + 3x
ㅤㅤ➝ 2× ( 3 )² - 7 + 3 × 3
ㅤㅤ➝ ( 2 × 9 ) - 7 + 9
ㅤㅤ➝ 18 - 7 + 9
ㅤㅤ➝ 11 + 9
ㅤㅤ➝ 20
what is value of question mark the polynomial between perfect square?
x2+26+?
Answer:
Step-by-step explanation:
(26/2)² = 169
Bill has a bag of 24 marbles. 6 are blue, 12 are red, 3 are black and 3
are green. What are the percentages of each colour?
Answer:
25%, 50%, 12.5%,12.5%
Step-by-step explanation:
6/24
3/24
12/24
3/24
Evaluate
x(y+3)
_____
(3+y)z
for x = 12, y = 1, and z = 6
A.5
B.6
C.8
D.2
Answer:
12(1+3)
6(3+1)
12(4)
6(4)
48
24
answer = 2
One of the legs of a right triangle measures 4 cm and the other leg measures 4 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
4[tex]\sqrt{2\\[/tex] or 5.7
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 4^2 = c^2
16 + 16 = c^2
32 = c^2
4[tex]\sqrt{2\\[/tex] or 5.7
tHiS qUeStIoN iS EaSy ToO. pLeAsE hAlP.
Answer:
41/10 or 4.1......
Step-by-step explanation:
Which property was used to simplify the expression?
4(0+2)=4b+8
O distributive property
O commutative property
associative property
O inverse property
Help
Answer:
Distributive propertyStep-by-step explanation:
Note is seems typo, b = 0
Given, expression
4( b + 2) = 4b + 8It represents distributive property of multiplication a(b + c) = ab + ac
Correct choice is the first one
Whole numbers that go one after another are called consecutive numbers. If you add 4 consecutive numbers, you get the smallest of these numbers multiplied by 5. What is this smallest number?
Answer:
The smallest number be 6.
Step-by-step explanation:
Let the 4 consecutive numbers be :
n,n+1,n+2,n+3 where n is the smallest number
Adding up the 4 consecutive numbers, we get :
n+n+1+n+2+n+3 = 4n+6
ATQ,
4n+6 = 5n
Taking like terms together,
6=5n-4n
⇒ n = 6
So, the smallest number be 6.
HELPPPPPP MEEEE PLEASEEE....on mathh
Answer:
7
Step-by-step explanation:
‼️‼️3) Brad was going to make
$53.85 a day for 5 days in his
new job. He figured that he
would make about $350.00. Is
this a reasonable answer?
Explain why or why not.‼️
what is the answer to 15x+6y
Answer:
x = -0.4y
Step-by-step explanation:
Simplifying
15x + 6y = 0
Solving
15x + 6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
15x + 6y + -6y = 0 + -6y
Combine like terms: 6y + -6y = 0
15x + 0 = 0 + -6y
15x = 0 + -6y
Remove the zero:
15x = -6y
Divide each side by '15'.
x = -0.4y
I need HELP please solve the blank space. It says that it isn’t 100 so I need HELP!!
yeah 5 is 5% of 100 i dunno bro
if anything try .25
sorry
What is the area, I need help? Someone pls help
Answer:
The area of this figure is 106 square meters
Step-by-step explanation:
7*4=28
(10*5)
50+28+28= 106 sq meters
What is the answer to 5+{2×[(5−1)+6]}÷4 with no frations
Answer:
15.5
Step-by-step explanation:
5+2x5-1+6/4=15.5
using a calculator this answer is correct.
Find the interest on a $6000 loan at 4% for 5 years.
Answer:
6000/1+0.04 power of 5
= 32,269.44
How is the area of polygons used to find surface areas of formulas for three dimensional figures
Answer:
V = l × b × h
List the even numbers between 3 and 13 in set
notation
Answer:
{4,6,8,10,12}
Step-by-step explanation:
Even numbers are those that can be divided by 2 without remainder i.e. they are divisible by 2.
The first positive even numbers are 2,4,6,8,10,12,14,16,18...
Selecting the numbers in the given range between 3 and 13 in set notation:
{4,6,8,10,12}
Answer:
4, 6, 8, 10, 12
Step-by-step explanation:
List the even numbers between 3 and 13 in set
notation
[4, 6, 8, 10, 12]
thanks
I need help with this question please
Answer:
210 mph
Step-by-step explanation:
speed of jet = x
headwind: speed = x - 27
time taken = 1134.6/(x - 27)
tailwind: speed = x + 27
time taken = 1469.4/(x + 27)
same amount of time:
1134.6/(x - 27) = 1469.4/(x + 27)
Cross multiply,
1134.6(x + 27) = 1469.4(x - 27)
1134.6x + 30634.2 = 1469.4x - 39673.8
334.8x = 70308
x = 210 mph
NO LINKS!!! Solve each triangle. Part 3aa
NOT A MULTIPLE CHOICE!!
1aa. B=10°, C=100°, b= 2
2bb. A= 40°, B= 40°, c= 2
3cc. A= 110°, C= 30°, c= 3
Answer:
Sum of interior angles of a triangle = 180°
Sine rule to find side lengths:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
----------------------------------------------------------------------
Question 1aa
Given: B = 10°, C = 100°, b = 2
10° + 100° + A = 180°
⇒ A = 70°
[tex]\dfrac{a}{\sin 70}=\dfrac{2}{\sin 10}=\dfrac{c}{\sin 100}[/tex]
[tex]\implies a=\sin 70 \cdot \dfrac{2}{\sin 10}=10.82294826...[/tex]
[tex]\implies c=\sin 100\cdot \dfrac{2}{\sin 10}=11.34256364...[/tex]
----------------------------------------------------------------------
Question 2bb
Given: A = 40°, B = 40°, c = 2
40° + 40° + C = 180°
⇒ C = 100°
[tex]\dfrac{a}{\sin 40}=\dfrac{b}{\sin 40}=\dfrac{2}{\sin 100}[/tex]
[tex]\implies a=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]
[tex]\implies b=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]
----------------------------------------------------------------------
Question 1aa
Given: A = 110°, C = 30°, c = 2
110° + 30° + B = 180°
⇒ B = 40°
[tex]\dfrac{a}{\sin 110}=\dfrac{b}{\sin 40}=\dfrac{3}{\sin 30}[/tex]
[tex]\implies a=\sin 110 \cdot \dfrac{3}{\sin 30}=5.638155725...[/tex]
[tex]\implies b=\sin 40\cdot\dfrac{3}{\sin 30}=3.856725658...[/tex]
Kelsey had 8 entries in her science journal. Last week, she wrote x more entries. How many entries are in her science journal now?
Answer:
Kelsey has 8 plus more entries
8 + x
Pam read 126 pages of her summer reading book
in 3 hours. Zack read 180 pages of his summer
reading book in 4 hours. If they continue to
read at the same speeds, will they both finish the
215-page book after 5 total hours of reading?
Answer:
Step-by-step explanation:
No Zack will finish first
Answer:
Only Zack will finish
Step-by-step explanation:
126/3 = 42
42*5 = 210
180 / 4 = 45
45 * 5 = 225
If you can can i have brainliest
The graph shows y = cot(x). Which of the following are true of its inverse? Check all that apply.
Zeros: None
Domain: All real numbers
Range: [0, π]
Minimum: 0
Maximum: None
Increasing intervals: The entirety of its domain
Answer:
Zeroes: None
Domain: All real numbers
Maximum: None
Step-by-step explanation:
of 10
Write 64 as a product of primes.
Use index notation where appropriate.
Answer:
[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]
Write 64 as a product of primes.
Use index notation where appropriate.
[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]
[tex]Prime\ no.\ is\ 2[/tex]
Factorisation of 64=2×2×2×2×2×2
[tex]{2}^{6} [/tex]
Based on the frequency distribution above, find the relative frequency for the class with a lower class limit of 35 Give your answer as a percent, rounded to 1 place after the decimal point, if necessary. Type only a number in the answer box (do NOT type "%" after your answer).
Ages Number of students
15-18 10
19-22 8
23-26 9
27-30 4
31-34 4
35-38 5
Using it's concept, it is found that the relative frequency for the class with a lower class limit of 35 is of 12.5%.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 5 out of a total of 10 + 8 + 9 + 4 + 4 + 5 = 40 students are in the class with a lower class limit of 35, hence:
f = 5/40 = 1/8 = 0.125 = 12.5%.
The relative frequency for the class with a lower class limit of 35 is of 12.5%.
More can be learned about relative frequencies at https://brainly.com/question/14398287
The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at the movie?
Answer:
12 boys
Step-by-step explanation:
7 x 3 = 21
4 x 3 = 12
12 boys
please answer quick!!
twelve million, one hundred and two thousand one hundred and twenty?
If x – 4y = 6 is a true equation, what would be the value of – 4y + x?
Answer:
6
Step-by-step explanation:
it's basically the same equation just different arrangement