Jeff deposited $6000 into a savings account for which interest is compounded quarterly at a rate of 3.3%. How much interest will he earn after 77 years? *
Answer:
140,000
Step-by-step explanation:
Answer: 69364.41
Step-by-step explanation:
6000(1 + 0.00825)^308= 75364.409332
75364.409332- 6000= 69364.409332
16, 3x + 2y = 8 5x+ 2y = 12 What is the solution of the system of equations shown above? A(-2,7) B. (2,1)
C.4/3,2
D
2,4
Answer:
The solution of the system of the equations is (2, 1) ⇒ B
Step-by-step explanation:
Let us solve the system of equations
∵ 3x + 2y = 8 ⇒ (1)
∵ 5x + 2y = 12 ⇒ (2)
→ Subtract equation (1) from equation (2)
∴ (5x - 3x) + (2y - 2y) = (12 - 8)
∴ 2x + 0 = 4
∴ 2x = 4
→ Divide both sides by 2
∴ x = 2
→ Substitute the value of x in equation (1) or (2) to find y
∵ 3(2) + 2y = 8
∴ 6 + 2y = 8
→ Subtract 6 from both sides
∵ 6 - 6 + 2y = 8 - 6
∴ 2y = 2
→ Divide both sides by 2 to find y
∴ y = 1
∴ The solution of the system of the equations is (2, 1)
factor and then solve the question.
X^2-6X=7
Answer:
The solution set is {-1, 7}.
Step-by-step explanation:
X^2-6X=7
X^2 - 6X - 7 = 0
(X - 7)(X + 1) = 0
X = 7, -1.
Two-thirds of a number, decreased by thirty-six, is at most twenty-two. Find the number.
(one answer only)
Answer:
87 is the number
Step-by-step explanation:
Solving equation with shown steps plz and thank u <3
-8 - x=-3(2x - 4) + 3x
Please help me with this question!!
Answer:
y is 8
Step-by-step explanation:
since this is a 30 60 90 triangle side a is x sqrt3 side b (which is y) is x and side c is 2x. since side c is 16 you divide by two or 16/2x and find x which 8 and since x is 8 and c is two times side b ur answer is 8 my friend
PLEASE HELP WILL GIVE BRANLIEST
Answer:
linear combination should be the right answer
Answer:
Substitution
Step-by-step explanation:
Substitution would be the best method because the equation is already simplified.The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the
hypotenuse by the formula a? + b2 = -2
If a is a rational number and b is a rational number, why could c be an irrational number?
Answer:
For the value of hypotenuse can be irrational, sum of squares of other two legs might be imperfect square number.
Step-by-step explanation:
We all know, the Pythagorean theorem can be stated as follows:
The sum of squares of two legs of a right angled triangle is equal to the square of the hypotenuse.
i.e.
[tex]a^2+b^2=c^2[/tex]
Where, [tex]c[/tex] is the hypotenuse and [tex]a, b[/tex] are the two other legs of the right angled triangle.
Given that:
[tex]a[/tex] and [tex]b[/tex] are rational numbers.
To find:
Situation for which [tex]c[/tex] is irrational.
Square of a rational number is always rational.
So, [tex]a^{2} , b^{2}[/tex] both will be rational.
And sum of squares of two rational numbers will also be rational.
Therefore, [tex]a^2+b^2[/tex] will also be rational.
and
[tex]c = \sqrt{a^2+b^2}[/tex]
For the value of [tex]c[/tex] can be irrational, sum of squares of other two legs might be imperfect square number.
4) A builder could get 3 sheets of sheetrock for $9. If he bought 5 sheets, how much money would he have spent?
Answer:
$15
Step-by-step explanation:
9/3=3 5*3=15
what is between 10/6 and 11/6 as a fraction on a number line
Answer:
10.5/6 ?
Step-by-step explanation:
It makes the most sense to me...
<3 Enjoy,
Dea
write a fraction as a percent
Answer:
A fraction as a percent is 1/2 = 50%.
Step-by-step explanation:
true of false? the slope of thia equation is zero
y=x+5
Answer:
false
Step-by-step explanation:
no solution
I did it on a graph and I think its true?
PLEASE ANSWER!! Scientists released 6 rabbits into a new habitat in year 0. Each year, there were four times as many rabbits as the year before. How many rabbits were there after x years? Write a function to represent the scenario. PLS ANSWER SOMEONE I NEED HELPPP
:(((
Answer: d
Step-by-step explanation:
Answer:
y=3
Step-by-step explanation:
y=x so y=3x
f() =3x+ 2
What is 5)?
OA. 17
O B. 21
OC. 10
O D. 15
Answer:
f(5) = 17
Step-by-step explanation:
f(x) = 3x+2
f(5) means let x =5
f(5) = 3*5+2
= 15+2
= 17
The measure of angle 1 is 3k - 7 and the measure of angle 8 is 5k + 29 29. What is the value of k
A: k= -18
B: k= 19.75
C: k= 36
D: k= 72
Answer:
Its A k = -18
Step-by-step explanation:
Because since angle 1 and 8 are the same your equation is 3k-7 = 5k+29. and then you solve and get k = -18.
dilate Triangle A(-3,3), B(-2,1),C (0,2)with a scale factor of 3 with center of dilation (-4,4)
Answer:
the awnser is B-3,3 i took the test and got it right
Solve:
(4y + 2)^2
Choose all that apply.
18y
8y + 4
16y + 4
4y + 4
Answer:
1. wrong
2. wrong
3. the Only Right one
4. wrong
Step-by-step explanation:
i dont know why your teacher said mark all that apply
Exam
Does the equation below represent a
direct proportion? If yes, identify
the constant of proportionality.
x = 9y
A. No
B. Yes, 1/9
D. Yes, -9
C. Yes, 3
Answer:
B. 1/9 cuz it's just saying y is 1/9 of x
classify a triangle with side lengths 5, 12, and 13.
- acute
- obtuse
- right
- not a triangle
9514 1404 393
Answer:
right
Step-by-step explanation:
You should recognize that (5, 12, 13) is a Pythagorean triple, so are the lengths of sides of a right triangle.
__
In any event, you can check to see.
5² +12² = 25 +144 = 169 = 13²
The side lengths satisfy the Pythagorean theorem, so correspond to sides of a right triangle.
_____
Some Pythagorean triples commonly seen in algebra, geometry, and trig problems are ...
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)
Decide whether enough information is given to prove that △WXZ≅△YZX using the HL Congruence Theorem.
You are given that ∠XWZ and ___ are right angles and WX≅ ___. Also, XZ≅ ___ by the ____. So, the triangles _____ be proven congruent using the HL Congruence Theorem.
See Explanation
Step-by-step explanation:
You are given that ∠XWZ and ∠ZYX are right angles and WX≅ ZY. Also, XZ≅ XZ by the (COMMON SIDES) . So, the triangles △WXZ and △YZX be proven congruent using the HL Congruence Theorem.
The complete sentence is
∠XWZ and ∠XYZ are right angles WX≅ ZY ( from figure) ΔXWZ ≅ ΔXYZ ( HL Congruence Theorem)What is HL Congruence Theorem?According to the hypotenuse-leg (HL) theorem, a right triangle is congruent if each of its hypotenuse and legs are congruent with their corresponding hypotenuse and legs in another right triangle.
Given:
From Figure we can write
∠XWZ and ∠XYZ are right angles
and, WX≅ ZY ( from figure)
So, the triangles ΔXWZ ≅ ΔXYZ ( HL Congruence Theorem)
Learn more about HL Congruence Theorem here:
https://brainly.com/question/11804042
#SPJ2
Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope-intercept form (y=mx+b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary.
y=2x;(9,-4)
The equation is y=
Answer:
y = -1/2x + 1/2
Step-by-step explanation:
perpendicular lines have slopes that are opposite signs and reciprocal
therefore, use m=-1/2 and point (9, -4) to complete the equation by finding 'b' (the y-intercept)
-4 = -1/2(9) + b
-4 = -9/2 + b
-4 + 9/2 = b
-4 + 4 [tex]\frac{1}{2}[/tex] = b
b = [tex]\frac{1}{2}[/tex]
Regina spent $45.50 over 612 months on music downloads.
If she spent the same amount of money each month, how much money did Regina spend per month on music downloads?
Answer:
.07 cents
Step-by-step explanation:
In order to solve this question all you need to do is divide the money spent by the amount of months. 45.50/612=0.0743464052 but since you cant spend .0043464052 of a cent we have to change the answer to .07. To check our answer is right all we need to do is multiply 0.0743464052 by 612=45.499999 so we know the answer is correct.
You use substitution to solve a system of equations and, after simplifying, end with a statement that says 7 = 7. Describe what this statement means about the number of solutions and about the graph of the system. .
Answer:
System of equations are independent, if 2nd equation is not multiplication of firstequation by some number . ... Simplify the 2nd equation: ... y - 2x = -7 ... If you solve the equationsalgebraically and you get a solution such as 5=5, then ... If you use either method and end up with astatement that's always true i hope this helps
Step-by-step explanation:
Answer:
Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.
Step-by-step explanation:
Write two numbers that multiply to the value on top and add to the value on bottom.
Answer:
(-6)(-7)
Step-by-step explanation:
Which of the following decimals appear to be rational numbers? Choose all that are correct.
41.45454545454545...
75.66666666666666...
7.0625
31.41592653589793...
11.31370849898476...
Answer:
A,B
Step-by-step explanation:
Five aluminum cans can be recycled to make a new can. How many new cans can eventually be made from 125 aluminum cans
Answer:
25 new cans
Step-by-step explanation:
Given that:
Number of aluminum cans needed to make a new can = 5
total number of aluminum cans = 125
Number of new cans that can be made :
Total number of aluminum cans / aluminum cans needed to make a new can
= 125 / 5
= 25 new cans
During a flood, James used two pumps to get the water out of his
basement. The big pump moves 3 gallons of water per minute. The
small pump moves 4 gallons in 5 minutes. How many more gallons
does the big pump move than the small pump after 10 minutes?
Answer:
The big pump moves 22 more gallons in 10mins
Step-by-step explanation:
The total the big pump moves is 30 gallons in 10mins because 3x10 = 30
The small pump moves 8 gallons in 10mins becuase 4x2= 8
Its asking for how many more so 30 - 8 = 22 More gallons
The width of DNA is approximately 0.0000000025 meter wide. In scientific notation, 6 times the width of DNA can be written as 1.5 x 10 meter.
What is the value of x?
Kiefer Davis is an architect earning $148,800 a year. He is married with 3 dependents and is paid on a biweekly basis. How much is withheld from each paycheck for state taxes?
Answer:
10,000
Step-by-step explanation:
q12s
An egg carton holds 12 eggs. A breakfast buffet uses 96 eggs by
8 A.M. When the buffet ends at 10:30 A.M., a total of 156 eggs were
used. How many cartons
of eggs were used after 8 A.M.?
Answer:
13 Cartoons
Step-by-step explanation:
As, in 1 cartoon = 12 eggs
x cartoon = 156
X = 156 / 12
X = 13
Therefore, 13 Cartoons were used after 10:30 am
