Answer:
6 1/6
Step-by-step explanation:
six goes into 42 seven times that leaves you with one number so it can go in six times evenly and that leaves you with 1/6
Investigate the difference between compounding annually and simple interest
for parts a-j. Round to the nearest cent.
a. Find the simple interest for a 1-year CD for $5,000 at a 2.5% interest rate.
b. Find the interest for a 1-year CD for $5,000 at an interest rate of 2.5%,
compounded annually.
c. Compare the results from parts a and b.
d. Find the simple interest for a 3-year CD for $5,000 at an interest rate
of 2.5%.
e. Find the interest for a 3-year CD for $5,000 at an interest rate of 2.5%,
compounded annually.
f. Compare the results from parts d and e.
g. Find the simple interest for a 6-year CD for $5,000 at an interest rate of 2%.
h. Find the interest for a 6-year CD for $5,000 at an interest rate of 2%,
compounded annually.
i. Compare the results from parts g and h.
j. Is interest compounded annually the same as simple interest? Explain
Step-by-step explanation:
Simple interest formula
[tex]A = P (1 + rt)[/tex]
Compound interest formula
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
a.
[tex]A = 5000 (1 + 0.025*1)\\A=5000(1.025)\\A=5125[/tex]
Simple interest is $125
b
. [tex]A = 5000 (1 + \frac{0.025}{1})^{1*1} \\A=5000(1.025)\\A= 5125[/tex]
Compound interest is $125
c. the result for both a and b are the same
d.
[tex]A = 5000 (1 + 0.025*3) \\A=5000(1.075) \\A=5375[/tex]
the simple interest is $375
e
. [tex]A = 5000 (1 + \frac{0.025}{1})^{1*3}] \\A=5000(1.025)^3 \\A=5000(1.077)\\A= 5385[/tex]
the compound interest is $385
f. the result compared, compound interest is $10 more than simple interest
g.
[tex]A = 5000 (1 + 0.02*6) \\A=5000(1.12) \\A=5600[/tex]
the simple interest is $600
h.
[tex]A = 5000 (1 + \frac{0.02}{1})^{1*6}] \\A=5000(1.12)^6 \\A=5000(1.9738) \\A= 9869[/tex]
the compound interest is $4869
i. the result from g and h, h is over 8 times bigger than g.
j. interest compound annually is not the same as simple interest, only for the case of a and b seeing that it is for 1 year. but for 2years and above there is difference as seen in c to h
wha is 3 3/5 *(-8 1/3)=
Answer: -24/5
3 3/5*(-8 1/3)=-24/5
Find the measure of angle b
Answer:
80 degrees
Step-by-step explanation:
16. Which one of the following mathematical statements is true?
O A. 28 – 0 = 0
Ca
MG3
OB. 0 - 28 = 0
O C. 28 + 0 = 0
7
O D. 28 = 0 = 0
Answer:
the answer is A
Step-by-step explanation:
because the other is in a wrong expression
List coordinates for A' if A(2,3) is rotated 180°.
a
(2, -3)
b
(-2, -3)
c
(-3, -2)
d
(-3, 2)
Suppose that Smartphone A has 256 MB RAM and 32 GB R OM, and the resolution of its camera is 8 MP; Smart- phone B has 288 MB RAM and 64 GB R OM, and the resolution of its camera is 4 MP; and Smartphone C has 128 MB RAM and 32 GB R OM, and the resolution of its camera is 5 M P . Determine the truth v alue of each of these propositions. a) Smartphone B has the most RAM of these three smart- phones. b) Smartphone C has more R O M o r a higher resolution camera than Smartphone B. c) Smartphone B has more RAM, more R OM, and a higher resolution camera than Smartphone A. d) If Smartphone B has more RAM and more R O M than Smartphone C, then it also has a higher resolution camera. e) Smartphone A has more RAM than Smartphone B i f and only if Smartphone B has more RAM than Smart- phone A.
Answer:
A.) TRUE
B.) TRUE
C.) FALSE
D.) FALSE
E.) FALSE
Step-by-step explanation:
Given that :
SMARTPHONE A:
RAM : 256 MB
ROM : 32 GB
CAMERA RESOLUTION : 8 MP
SMARTPHONE B:
RAM : 288 MB
ROM : 64 GB
CAMERA RESOLUTION : 4 MP
SMARTPHONE C:
RAM : 128 MB
ROM : 32 GB
CAMERA RESOLUTION : 5 MP
Determine the truth value of each of these propositions.
A) Smartphone B has the most RAM of these three smart- phones.
TRUE ; 288 > (256 and 128)
B) Smartphone C has more R O M o r a higher resolution camera than Smartphone B.
C ROM > B ROM = FALSE
C CAMERA RESOLUTION > B camera resolution = TRUE
FALSE or TRUE = TRUE
C.) Smartphone B has more RAM, more R OM, and a higher resolution camera than Smartphone A.
RAM = TRUE ; ROM = TRUE ; CAMERA RESOLUTION = FALSE
TRUE and TRUE and FALSE = FALSE
d) If Smartphone B has more RAM and more R O M than Smartphone C, then it also has a higher resolution camera.
CAMERA RESOLUTION ON SMARTPHONE B IS LESS, HENCE, STATEMENT = FALSE
e) Smartphone A has more RAM than Smartphone B i f and only if Smartphone B has more RAM than Smart- phone A.
1st statement = FALSE
2nd condition = TRUE
FALSE and TRUE
= FALSE
True or False: On the Mertler’s vacation to Florida, they drove 180 miles in 3 hours before stopping for lunch. After lunch they drove 120 miles in 2 hours before stopping for gas. Are these rates equivalent? Explain your reasoning.
Answer:
true
Step-by-step explanation:
because the ratios are both 60 miles in 1 hour
A.Name a constant
B.Name the coefficients
Answer:
7 & 13 are constants
8 & 3 are coefficients
Step-by-step explanation:
Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought five notebooks and five thumb drives for $110. Lisa bought three notebooks and five thumb drives for $102. Find the cost of each notebook and each thumb drive.
Answer:
Notebooks cost $4
Thumb drives cost $18
Step-by-step explanation:
x=$ for notebooks
y=$ for thumb drives
5x + 5y = 110 ----> for Troy
3x + 5y = 102 ----> for Lisa
Use subtraction to find x.
(5x + 5y = 110)
-(3x + 5y = 102)
_____________
2x + 0y = 8
2x = 8
x=4
Sub 4 for x into 5x + 5y = 110
20 + 5y = 110
-20 -20
___________
5y = 90
y=18
Notebooks cost $4
Thumb drives cost $18
-4 (2x + 13) + 3x = 80
How do you solve this out and get the answer
Answer:
-132/5
Step-by-step explanation:
-4(2x+13) + 3x = 80
-8x - 52 + 3x = 80
-5x = 80+52
5x = -132
x = -132/5
Feel free to mark this as brainliest! :D
If 10x - 2 represents the time Anna and Tamara leave tonight and 4x - 9 represents
the time Anna and Tamara would leave in the morning, write an algebraic
expression that represents the difference in the time between leaving at night and
leaving in the morning.
Time
✓ Check
Answer:
6x + 7
Step-by-step explanation:
Given parameters:
Time Anna and Tamara leaves tonight = 10x - 2
Time Anna and Tamara leaves in the morning = 4x - 9
Unknown:
An algebraic expression that represents the difference in time between leaving at night and leaving in the morning = ?
Solution:
The algebraic expression is given as:
= (10x - 2) - (4x - 9)
= 10x -2 -4x + 9
= 10x -4x -2 + 9
= 6x + 7
The algebraic expression for the time difference is 6x + 7
ax+by=c
solve for equation for y
Answer:
[tex]y=\frac{c}{b}-\frac{ax}{b}[/tex]
Step-by-step explanation:
[tex]ax+by=c\\ax+by-ax=c-ax\\by=c-ax\\by/b=(c-ax)/b\\y=\frac{c-ax}{b} \\y=\frac{c}{b}-\frac{ax}{b}[/tex]
(i need this ASAP)
Which of the following is an
arithmetic sequence?
A 1, 3, 6, 10, 15, …
B −8, −11, −14, −17, −20, …
C 48, 24, 12, 6, 3, …
D 1, 12, 123, 1234, 12345, …
Answer:
A
Step-by-step explanation:
is there a need for explanation
The life expectancy of Timely brand watches is normally distributed with a mean of 4 years and a standard deviation of 8 months. Ninety-five percent of the watches will have a life expectancy of at least how many months
Answer:
63.68 months
Step-by-step explanation:
We solve this question with z score formula
z = (x-μ)/σ, where
x is the raw score ???
μ is the population mean = 4 years
Since the final answer would be in months, we would convert mean to months
= 1 year = 12 months
4 years = x months
= 12 × 4 = 48 months
σ is the population standard deviation = 8 months
z = the z score for 95% confidence interval = 1.96
1.96 = x - 48/8
1.96 × 8 = x - 48
15.68 = x - 48
x = 15.68 + 48
x = 63.68 months
GCF of 12 and 28 is?
Answer:
4.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
12: 1,2,3,4,6,12
28: 1,2,4,7,14,28
Are the expression 5[4x + 3] and 20x + 3 equivalent? Why or Why not.
Answer:
[tex]5(4x + 3) = 20x + 15[/tex]
[tex]20x + 3[/tex]
5(4x + 3) is not equal to 20x + 3. The 5 is distributed to the 4x and 3 resulting in 20x + 15 and not 20x + 3.
is y=0.18.x proportional
Answer:
-50/9 is the answer i think
3x subtracted from 15x + x power of 2
Answer:
15-3=12 to the power of 2
12 x 12 = 24
yo i suck at algebra so... you have my sincerest apolagies if this is wrong.
Step-by-step explanation:
Y = x Squared - 2x - 15
Answer:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y. x-intercept(s): (5,0),(−3,0)y-intercept(s): (0,−15)
Kai needs a car to get to work and school. He's decided on a used car with a cost of $12,000. According to his budget he can afford to pay up to $300 per month and car payments. Which loan offer is best for Kai?
Answer:
The answer is Offer 3 because it has the lowest total loan cost of the offers with a monthly payment in his budget
Answer: c, offer 3
Step-by-step explanation: just did the quiz
Juan has forty dollars in his jacket. Every day he spends half of the money that is in the
jacket. On the first day (Monday), he spends $20 leaving him with twenty dollars. On what
day will he start with less than $3.00 in his jacket?
A) Friday
B) Thursday
C) Tuesday
D) Saturday
Answer:
I would say D saturday
Step-by-step explanation:
Hope this helped
PLEASE HELP!!!!!! PLEASE
how do i write a addition sentence to check my subtraction problem
Answer:
you take the answer of the subtraction problem + one of the other numbers it doesnt matter which one
Step-by-step explanation:
for example: 8-4=4 so you would take 4 + 4 = 8 it should equal the other number
6 ≤ -3x + 12
can somone solve this for me *correctly* ill give u brainlest only if ur right
Answer:
x ≤ 2
Step-by-step explanation:
-3x+12≥6
-3x≥6
3x≤6
x ≤ 2
Answer:
x ≤ 2 is the correct answer!
Step-by-step explanation:
Hope this helps!
4 x 234567890123456789
Answer:
Step-by-step explanation:
9.3827156E17 the awnser
Answer:
pop smoke ting go skrdraaaa pop. po pop pop popskibbydo pop pah
What is the missing expression that would make the left-hand-side of the equation equal to the right-hand-side?
[tex]\frac{???}{x-2}/\frac{x^{2}-1 }{x^{2} -4x+4} =\frac{5(x-2)}{x-1}[/tex]
Given:
The equation is
[tex]\dfrac{???}{x-2}/\dfrac{x^2-1}{x^2-4x+4}=\dfrac{5(x-2)}{x-1}[/tex]
To find:
The missing value.
Solution:
Let the missing value be k.
[tex]\dfrac{k}{x-2}/\dfrac{x^2-1}{x^2-4x+4}=\dfrac{5(x-2)}{x-1}[/tex]
[tex]\dfrac{k}{x-2}\times \dfrac{x^2-2(x)(2)+2^2}{x^2-1^2}=\dfrac{5(x-2)}{x-1}[/tex]
Using the formulae [tex](a-b)^2=a^2-2ab+b^2[/tex] and [tex](a-b)(a+b)=a^2-b^2[/tex].
[tex]\dfrac{k}{x-2}\times \dfrac{(x-2)^2}{(x-1)(x+1)}=\dfrac{5(x-2)}{x-1}[/tex]
[tex]\dfrac{k(x-2)}{(x-1)(x+1)}=\dfrac{5(x-2)}{x-1}[/tex]
Cancel out the common factors from both sides.
[tex]\dfrac{k}{x+1}=5[/tex]
Multiply both sides by (x+1).
[tex]k=5(x+1)[/tex]
Therefore, the missing value is 5(x+1).
Which of the values from the set (-7, -6, -2, 0, 1, 3) satisfy the inequality-5x + 5< 25
Answer: -2, 0, 1, 3
Step-by-step explanation:
when you multiply -7 and -6 by -5 than add 5 you get a higher number than 25.
when you multiply -2, 0, 1 And 3 by -5 than add 5 you get a lower number than 25.
Can you help me please please help me
find the slope of the graphed line
Answer:
B
Step-by-step explanation:
y2-y1/x2-x1
4-2/4-0
2/4=1/2
Answer: 1/2
Explanation: the equation is y = 1/2x + 2
Help ill give brainliest
Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.
4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
How can her partial solution be interpreted?
A. The equation has one solution: x = 0.
B. The equation has one solution: x = 8.
C. The equation has no solution.
D. The equation has infinite solutions.
Answer:
C. no solution
Step-by-step explanation:
3x – 4 = 3x + 4
3x-3x=4+4
0=8
which is not possible.
So, it has no solutions.
