Which of the
following equations can be used with x + y = 60 to solve for x and y
Answer:
What are "the following equations" supposed to be?
Step-by-step explanation:
:)
Matt invested $300 into an account that had an annual interest
rate of 3.8% compounded monthly for 5 years. Chris invested
$350 into an account that had an annual interest rate of 3.5%
compounded continuously for 5 years. Determine which models
could be used to determine how much money would be in each
account after 5 years.
The amount of money that Matt and Chris have after 5 years will be $362.66 and $415.69, respectively.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]
Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.
Matt put $300 into a five-year account with a 3.8% annual interest rate compounded on a monthly basis. Then the amount after 5 years will be
[tex]\rm A = 300\left (1 + \dfrac{0.038}{12} \right ) ^{12 \times 5}[/tex]
Simplify the equation, then we have
A = 300 x 1.2089
A = $362.66
Chris put $350 into a savings account with a 5-year compounded yearly return rate of 3.5 percent.
A = 350 (1 + 0.035)⁵
Simplify the equation, then we have
A = 350 x 1.1877
A = $415.69
The amount of money that Matt and Chris have after 5 years will be $362.66 and $415.69, respectively.
More about the compound interest link is given below.
https://brainly.com/question/25857212
#SPJ1
A digital clock shows hours and minutes. How many times between one minute after midnight and one minute before midnight does the clock show the same when it is read forwards or backwards (for example : 15:51)
Answer:
60 seconds make 1 minute,60 minute make 1 hours.
Classify √3
√3 means the nonnegative square root of 3
√ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.
We are given a number √ 3.
We need to classify the number.
First we can see that, this is the non negative square root of the number 3.
That is when we multiply √ 3 two times, we get the number 3.
Also, we can see that, it will be an irrational number as it will be non terminating and non repeating number.
That is it will be a real irrational number.
Therefore, we get that, √ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.
Learn more about irrational numbers here:
https://brainly.com/question/20400557
#SPJ9
the length of a rectangle is 8 centimeters. what is the width?
Answer:
This is a very vague question. We can't find out the width if it doesn't tell us the area. Comment on my answer the area and I can help.
HELPPP ASAP!!!!!!! PLZZZ
Answer:
8/12
Step-by-step explanation:
there is a graph with 36 possible outcomes. What is the probability of rolling a sum of 10 when rolling 2 number cubes.
A. 1/12
B. 1/9
C. 1/3
D. 5/12
Answer: A
Step-by-step explanation:
Answer:
A. 1/12
Step-by-step explanation:
please help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
57
Step-by-step explanation:
pls help me on this
Answer:
A. $3
Step-by-step explanation:
20 × 15% =
20 × 15/100 =
20 × 3/20 = 60/20 = 3
Answer:
$23
Step-by-step explanation:
15% of 20 = 3Original price + tip = total cost$20 + $3 = total cost$20 + $3 = $23I hope this helps!
Conjecture: Any negative number cubed is what?
Answer:
Also a negative number
Step-by-step explanation:
negative times negative is equal to positive, positive times negative is equal to negative
First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.
What is complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, b are real numbers and i is an imaginary number.
If x is a real number,
-x is a negative real number,
(-x)³=-(x³)
e.g.(-3)³=-(3³)= -27
(-½)³=-(½)³= -(1/8)
The cube of a negative number can be calculated in the same way as you calculate for the positive number.
First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.
Learn more about complex number
https://brainly.com/question/19007885
#SPJ2
Which of the following situations can be represented by the expression 7 + 12x ? Select two that apply.
Answer:
theres no situations or answers.
Step-by-step explanation:
PLEASE HELP :) 20 POINTS FOR IT IF U JUST ANSWER LIKE IDK OR SUM IMMA REPORT
Answer:
BC = [tex] 1.8 [/tex]
Step-by-step explanation:
∆ABC is an equilateral ∆ because all three angles are equal. Therefore, all its sides would be equal also. This means AB = BC = AC
Thus, let's find the value of x.
[tex] \frac{7}{4}x - 1 = \frac{9}{3}x - 3 [/tex]
Collect like terms
[tex] \frac{7}{4}x - \frac{9}{3}x = 1 - 3 [/tex]
[tex] \frac{7x}{4} - 3x = -2 [/tex]
[tex] \frac{7x - 12x}{4} = -2 [/tex]
[tex] \frac{-5x}{4} = -2 [/tex]
Multiply both sides by 4
[tex] \frac{-5x}{4}*4 = -2*4 [/tex]
[tex] -5x = -8 [/tex]
Divide both sides by -5
[tex] x = \frac{8}{5} [/tex]
AB = BC = AC
Therefore,
BC = [tex] \frac{7}{4}x - 1 [/tex]
Plug in the value of x
BC = [tex] \frac{7}{4}*\frac{8}{5} - 1 [/tex]
BC = [tex] \frac{56}{20} - 1 [/tex]
BC = [tex] 2.8 - 1 [/tex]
BC = [tex] 1.8 [/tex]
is {(3,-2), (4,-2), (5,-2), (6,-2) a function
Answer:
yes
Step-by-step explanation:
This function is y=-2 which is a line that doesn't overlap.
Answer: Yes
Step-by-step explanation:
When you have these problems, you can know the answer by seeing if any of the x values are the same. If there are, it will only be a function if the y value is the same.
For example:
{(1,-2),(2,3),(1,-2),(3,4) would be a function because the x values of "1" have the same y value.
Another example:
{(1,-2),(1,3),(3,4),(4,5) would not be a function because the x values of "1" does not have the same y value
Hope this helps!
Help please I’ll give brainliest!
If an input of -9 is put into each of the machines below, what is each output?
b. Eric wants to get an output of 0. Can he do this with each machine? If so, how? If not, why not?
Function A
Function B
If an input of -9 is given to machine having Function A, then output will be 84 and if it is given to machine having Function B, then the output will be 3i-2.
The machine having Function A is given by y = x² + 3 and the machine having Function B is given by y = (√x) - 2.
Here, input will be the value of x and output will be the value of y as x id the independent variable and y is the dependent variable. If we put x = -9 in both the machines, then;
The output by machine A will be given by
y = (-9)² + 3
y = 81 + 3
=> y = 84
The output by machine B will be given by
y = (√-9) - 2
y = 3(√-1) - 2
=> y = 3i - 2.
Now, if Eric wants to get an output zero, he can get it by using machine B as Function A has square and addition both so any negative number will also give a positive result and the result will never be zero. But in Function B the result zero can be obtained by giving the input as 4 that is x = 4. The output will be given by:
y = (√4) - 2
y = 2 - 2
=>y = 0.
Learn more about Function at:
brainly.com/question/10439235
#SPJ9
F(x)=(x-2)(x-6) Find the x-intercepts
Which of the following is an existential quantifier?
A)few
B)none
C)every
D)all
Answer:
A
Step-by-step explanation:
A is probably the best one!
1/2x + 4=9
What does x equal?
Answer:
x=10
Step-by-step explanation:
1/2x+4=9
subtract 4 from both sides
1/2x=5
multiply both sides by 2 to get x by itself
x=10
Answer:
1/2x+4=9 is x=1/10
Step-by-step explanation:
theres no explanation
HELP ASAP ILL GIVE BRAINLIST
Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩
Answer:
[tex]\theta = 108.29[/tex]
Step-by-step explanation:
Given
[tex]u = <2,6>[/tex]
[tex]v = <4,-7>[/tex]
Required:
Calculate the angle between u and v
The angle [tex]\theta[/tex] is calculated as thus:
[tex]cos\theta = \frac{u.v}{|u|.|v|}[/tex]
For a vector
[tex]A = <a,b>[/tex]
[tex]A = a * b[/tex]
[tex]cos\theta = \frac{u.v}{|u|.|v|}[/tex] becomes
[tex]cos\theta = \frac{<2,6>.<4,-7>}{|u|.|v|}[/tex]
[tex]cos\theta = \frac{2*6+4*-7}{|u|.|v|}[/tex]
[tex]cos\theta = \frac{12-28}{|u|.|v|}[/tex]
[tex]cos\theta = \frac{-16}{|u|.|v|}[/tex]
For a vector
[tex]A = <a,b>[/tex]
[tex]|A| = \sqrt{a^2 + b^2}[/tex]
So;
[tex]|u| = \sqrt{2^2 + 6^2}[/tex]
[tex]|u| = \sqrt{4 + 36}[/tex]
[tex]|u| = \sqrt{40}[/tex]
[tex]|v| = \sqrt{4^2+(-7)^2}[/tex]
[tex]|v| = \sqrt{16+49}[/tex]
[tex]|v| = \sqrt{65}[/tex]
So:
[tex]cos\theta = \frac{-16}{|u|.|v|}[/tex]
[tex]cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}[/tex]
[tex]cos\theta = \frac{-16}{\sqrt{2600}}[/tex]
[tex]cos\theta = \frac{-16}{\sqrt{100*26}}[/tex]
[tex]cos\theta = \frac{-16}{10\sqrt{26}}[/tex]
[tex]cos\theta = \frac{-8}{5\sqrt{26}}[/tex]
Take arccos of both sides
[tex]\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})[/tex]
[tex]\theta = cos^{-1}(\frac{-8}{5 * 5.0990})[/tex]
[tex]\theta = cos^{-1}(\frac{-8}{25.495})[/tex]
[tex]\theta = cos^{-1}(-0.31378701706)[/tex]
[tex]\theta = 108.288386087[/tex]
[tex]\theta = 108.29[/tex] (approximated)
2. (08.03) A teacher gave her class two exams; 60% of the class passed the second exam, but only 48% of the class passed both exams. What percent of those who passed the second exam also passed the first exam? (2 points) 80% 12% 30% 48%
Only 80% students passed the second exam and also passed the first exam .
Conditional probability is used to find the probability of an event A given that event B has already occurred.
It is denoted by P(A/B)=P(A∩B)/P(B) .
In the given question
Let A be the event for students passed in first exam.
Let B be the event for students passed in second exam.
Given
Only 48% passed in both the exam that means
P(A∩B)=48%=0.48 ...(i)
and
60% students passed the second exam , that is
P(B)=60%=0.60 ...(ii)
To find the probability of students passed in second exam given that they passed in first exam , conditional probability is used that is P(A/B), denoted by
P(A/B)=P(A∩B)/P(B)
Substituting the values from equation (i) and (ii) we get
P(A/B) = 0.48/0.60
=48/60
Converting 48/60 to percent
=48/60*100
=80%
Therefore , Only 80% students passed the second exam and also passed the first exam , the correct option is 80%.
Learn more about Conditional Probability here
https://brainly.com/question/11899923
#SPJ1
A board 30 metres long is to be divided into 2pieces so that the larger piece is 3 metres longer than twice the shorter piece. How long will the pieces be?
Answer: 9 and 21
Step-by-step explanation:
board=30m
divide by 2 pieces
one piece, we call it a
b, the other piece is b= 2a+3
a+b=30
a+2a+3=30
3a=30-3
3a=27
a=9
b=21
Please help me out I’m lost
Given:
The function is
[tex]f(x)=2x^4-4x^3+20x-100[/tex]
To find:
The remainder if f(x) is divided by (x+11).
Solution:
According to the remainder theorem, if a function f(x) is divided by (x-c), then the remainder is f(c).
On comparing (x+11) and (x-c), we get c=-11.
Using remainder theorem, if a function f(x) is divided by (x+11), then the remainder is f(-11).
Putting x=-11 in the given function.
[tex]f(-11)=2(-11)^4-4(-11)^3+20(-11)-100[/tex]
[tex]f(-11)=29282+5324-220-100[/tex]
[tex]f(-11)=34606-320[/tex]
[tex]f(-11)=34286[/tex]
Therefore, the remainder is 34286 when f(x) is divided by (x+11).
The area of a rectangle is greater than or equal to 154 square centimeters. The width of the rectangle is 12 centimeters and the length is x
centimeters. Select the possible value(s) of x.
Plz it’s a test LOLMDJSHS
Answer:
x ≤ 12.83
(Any number under or equal to 12.8333...)
Step-by-step explanation:
154 ≥ 12x
12.833.... ≥ x
x ≤ 12.83
A submarine is traveling at a constant speed below sea level . The equation y = -50x-75 can be used to represent this situation where y is the location of the submarine below sea level in feet and x is the number if hours the submarine has been traveling . Which states best describes the location of the submarine given this equation
Answer:
From a starting location of 75 feet below sea level, the submarine is descending 50 feet per hour. Answer is.D
Step-by-step explanation:
Used an Calculator
I hope this helps
Answer:
D
Step-by-step explanation:
the reason why it's D, is because i did the test bro and it had a green check which means it's right.
your welcome.
Find the midpoint of points A(-3,7) and B(-6,0) graphically.
Answer:
satingin ko po at B I not sure
Step-by-step explanation:
i hope it help
Which of the following accurately shows the range of the function defined below? [3, infinity), [2,infinity), [3,6], (-infinity, infinity)
2,infinity
Hope this helps
Answer:[2,♾)
Step-by-step explanation:
One week a student exercised 3 hours at school and another 2/3 of an hour at home. If 1/6 of the student’s total exercise came from soccer, how much time did the student spend playing soccer that week?
Answer:
36m 40s
Step-by-step explanation:
To find out how much time was spent on playing soccer, we need to find out the total number of hours spent on exercising.
Total amount of time for exercise = 3h + [tex]\frac{2}{3}[/tex]h
= [tex]\frac{11}{3}[/tex]h
Total amount of time for soccer = [tex]\frac{1}{6}[/tex] × [tex]\frac{11}{3}[/tex]h
= [tex]\frac{11}{18}[/tex]h
= 36m 40s
Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best deal? Store X: 4 cans for $2.48 Store Y: 5 cans for $3.00 *
Answer:
Y=300
X= 4
M= 49x9=4
3x4=3
Step-by-step explanation:
What is
22x22x22x22x22x22 as a power?
Answer:
22^6
Step-by-step explanation:
Answer:22^6
Step-by-step explanation:
because you have 22*22 6 times take the 6 twenty twos and make that an exponent of 6 you have the base of 22 you have the exponent of 6 so you have to power of 22 to the sixth