Ms. Etienne deposited $450 into an account that paid 5% interest compounded annually. She did not make any
additional deposits or withdrawals.
Which amount is closest to the value of the account at the end of 6 years?
A $603.04
B $585.00
© $463.67
o
$463.50
Answers
Answer:
$603.04
Step-by-step explanation:
The Compound Amout formula is A = P(1 + r)^t, where:
P is the principal (initial deposit), r is the annual interest rate as a decimal fraction, and t is the time period in years.
In this particular case, the Compound Amount is:
A = ($450)(1 + 0. 05)^6 = ($450)(1.34) = $603.04
Related Questions
Paul will roll two standard dice simultaneously. If Event A = both dice are odd and Event B = at least one die is even, which of the following best describes events A and B?
Answers
Answer:
Mutually Exclusive
Dependent
Step-by-step explanation:
Given that both events cannot occur at the same time, that is "both dice cannot be odd (event A) if at least one of the dice is even (event B).
Hence, this is MUTUALLY EXCLUSIVE.
Also, given the fact that the occurrence of one event (event A) affects the probability of the other (event B).
Hence, this is DEPENDENT.
Determine whether the following graph represents a function.
Answers
Answer:
yes the graph represents a function
Step-by-step explanation:
plz mark me brainliest
Suppose (DE) = 103 ft. Calculate the distance of (AB) to the nearest tenth of a foot. Show your work. Don’t forget to label your answer.
Answers
What is the coefficient of q in the sum of these two expressions?
(23q – 34) and (–16q – r)
2/3
3/4
1/2
1
Answers
Answer:
23 and - 16 are the coefficients
Step-by-step explanation:
ach case:
(ii) (+5) + (+2)
(v) (-5) + (-2)
(viii) (+6) + (-3)
(xi) (-4) + (+8)
illustrate each of th
Answers
Answer:
Step-by-step explanation:
(+5) + (+2) = +7
If both numbers have same sign, add and the result will have the common sign
v) (-5) + (-2) = (-7)
Both numbers have 'negative sign'. So, add and the result will have the 'negative sign'
Viii) (+6) + (-3) = +3
Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '6' and its sign is 'positive'. so, the result will have positive sign
xi) (-4) + (+8) = +4
Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '8' and its sign is 'positive'. so, the result will have positive sign
Find the value of x that makes lines u and v parallel.
Answers
Answer:
the answer is x=10
Step-by-step explanation:
10*10=100
100-10=90
the red square means 90°
3RD TIME PLS REALLY NEED THIS
Answers
Answer:
Part A: a) Corresponding angles
Part B: b) 12x - 10 = 10x + 8
Part C: x = 9
m<1 = 98
m<2 = 82
Explanation:
B)
Since they're corresponding angles, they're equal to each other:
12x - 10 = 10x + 8
C)
12x - 10 = 10x + 8
2x = 18
x = 9
m<1:
12(9) - 10 = 98
m<2:
98 + y = 180
y = 82
9514 1404 393
Answer:
A. a
B. b
C. 9, 98, 82
Step-by-step explanation:
See attached.
"Corresponding" angles are those in the same direction from the point of intersection. Here, angles 1 and 3 are both northwest of the intersection point, so are corresponding.
From ...
12x -10 = 10x +8
2x = 18 . . . . . . . . . . . add 10-10x to both sides of the equation
x = 9 . . . . . . . divide by 2
Angles 1 and 3 are the same measure, so we choose the easier expression to evaluate mentally. Multiplying by 10 is easier than by 12, so we use 10·9+8=98 as the measure of angles 1 and 3. Angle 2 is the supplement of this.
What’s the answer???????
Answers
Answer:
12
Step-by-step explanation:
2(b + c)
2(5 + 1)
2(6)
12
The answer is on the picture
I need help please !!!
Answers
Answer:
the answer is false because congruent mean 3 equal sides
What is 7/2 divided by 5/4?
HURRY UP PLZ!!
Answers
Answer:
[tex] \frac{14}{5} [/tex]
Step-by-step explanation:
1) Use this rule : a ÷ b/c = a × c/b.
[tex] \frac{7}{2} \times \frac{4}{5} [/tex]
2) Use this rule: a/b × c/d = ac/bd.
[tex] \frac{7 \times 4}{2 \times 5} [/tex]
3) Simplify 7 × 4 to 28.
[tex] \frac{28}{2 \times 5} [/tex]
4) Simplify 2 × 5 to 10.
[tex] \frac{28}{10} [/tex]
5) Simplify.
[tex] \frac{14}{5} [/tex]
Therefor, the answer is 14/5. And is decimal form it would be, 2.8.
What is the equation of the line that passes through the point (-1,-7)(−1,−7) and has a slope of 2
Answers
Answer:
y = 2x - 5
Step-by-step explanation:
Put it in point-slope form:
y + 7 = 2(x + 1)
y + 7 = 2x + 2
y = 2x - 5
Please help !!
Find the limit of the function by using direct substitution.
limit as x approaches three of quantity x squared plus eight x minus two.
0
-31
Does not exist
31
Answers
Given:
The limit problem is:
[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]
To find:
The limit of the function by using direct substitution.
Solution:
We have,
[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]
Applying limit, we get
[tex]\lim_{x\to 3}(x^2+8x-2)=(3)^2+8(3)-2[/tex]
[tex]\lim_{x\to 3}(x^2+8x-2)=9+24-2[/tex]
[tex]\lim_{x\to 3}(x^2+8x-2)=33-2[/tex]
[tex]\lim_{x\to 3}(x^2+8x-2)=31[/tex]
Therefore, the correct option is D.
WILL MARK BRANIEST IF ITS RIGHT PLEASE HELP ME I HAVE BEEN STUCK ON THIS QUESTION (note for the problem look at picture 1 for your answer choices look at picture 2.
Answers
Answer:
I think B is right answer
which is the correct expression of (2x+3) (2x^2-5)
:
:
:
Answers
HELPPPPPP!!!
find each missing length. give all answers in the simplest radical form.
Answers
Answer:
45°
Step-by-step explanation:
the sum of angles in a triangle is equal 180°
we have been given that one angle equals yo 90° and the other equals to 45°
let "?" be the unknown angle
====> 180° = 90° + 45° +?
? = 180° - (90° + 45°)
? = 180° - 135°
? = 45°
I need help trying to find the trig function for this problem
Answers
9514 1404 393
Answer:
x ≈ 136.7 ft
Step-by-step explanation:
As you have marked, the relevant sides are the adjacent side and the hypotenuse. The mnemonic SOH CAH TOA reminds you ...
Cos = Adjacent/Hypotenuse
For this triangle, that means ...
cos(43°) = (100 ft)/x
x = (100 ft)/cos(43°) . . . . . . . . . . multiply both sides by x/cos(43°)
x ≈ 136.73 ft
The length x is about 136.7 feet.
1) It takes Elisa six hours to pick forty bushels of apples. Kim can pick the san amount in ten hours. Find how long it would take them if they worked together
Answers
Step-by-step explanation:
Elsa 40÷6= 6.666, or 6 2/3 bushels per hour
Kim 40÷10= 4 bushels per hour.
together, they pick 10.66 bushels per hour, so 40÷ 10.66= 3.75 hours, or 3 hours, 45 minutes
A distance of 5 units is best described by the distance between the —
Answers
Answer:
c and d
Step-by-step explanation:
18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0
Answers
Answer:
a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Step-by-step explanation:
The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form
That is:
y = mx = c
where m is the slope and c is the y-intercept
Part a:
6(x+y) = 3(x-y)
2(x+y) = x-y
2x + 2y = x - y
3y = -x
[tex]y = \frac{-1}{3}x[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
Part b:
2(x+y) = 5(y+1)
2x + 2y = 5y + 5
3y = 2x - 5
[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]
Comparing this with general formula, we can conclude that:
The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
Part c:
5x + 10y -20 = 0
10y = -5x + 20
[tex]y = \frac{-1}{2} x+2[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Hope this helps :)
At 106°F, a certain insect chirps at a rate of 67 times per minute, and at 108°F, they chirp 83 times per minute. Write an equation in slope-intercept form that represents the situation.
Answers
Answer:
[tex]y=8x-781[/tex]
Here, [tex]x[/tex] represents temperature and [tex]y[/tex] denotes rate of chirping per minute.
Step-by-step explanation:
Let [tex]x[/tex] represents temperature and [tex]y[/tex] denotes rate of chirping per minute.
At [tex]106[/tex]°F, a certain insect chirps at a rate of [tex]67[/tex] times per minute.
Take [tex](x_1,y_1)=(106,67)[/tex]
At [tex]108[/tex]°F, they chirp [tex]83[/tex] times per minute.
Take [tex](x_2,y_2)=(108,83)[/tex]
Slope intercept form:
[tex]y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)[/tex]
[tex]y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{16}{2})(x-106)\\\\y-67=8(x-106)\\y-67=8x-848\\y=8x+67-848\\y=8x-781[/tex]
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
f(x) = |x - 3| + 2
g(x) = |x + 1| - 5
Can someone please help?
Answers
Answer:
77 5/8
Step-by-step explanation:
a) Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4
= 24/4
b) Add the answer from the previous step 24 to the numerator 3. New numerator is 24 + 3 = 27
c) Write a previous answer (new numerator 27) over the denominator 4.
Conversion a decimal number to a fraction: -11.5 = -115/10
= -23/2
a) Write down the decimal -11.5 divided by 1: -11.5 = -11.5/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
-11.5/1
= -115/10
c) Simplify and reduce the fraction
-115/10
= -23 * 5/2*5
= -23 * 5/2*5
= -23/2
Multiple: 27/4
* (-11.5) = 27 · (-23)/4 times5
= -621/8
Chris works at a local hardware store where she earns a weekly salary of $150 and a 3% commission on all sales this week she sold $1500 worth of products
Answers
Answer:
Commission is $45.00
Weekly salary was $150.00 + $45.00
She earned $195.00 for her paycheck
Step-by-step explanation:
I will give brainliest Given ⊙N, what is mABC ?
A circle with center point N and three points A, B, C on its circumference. A line is drawn connecting the points A, N and C and the angle ANC is given as 138 degree.
A. 111°
B. 138°
C. 222°
D. 276°
Answers
9514 1404 393
Answer:
138°
Step-by-step explanation:
The measure of arc ABC is the measure of the corresponding central angle, ∠ANC. That angle is shown as 138°, so the measure of arc ABC is 138°.
Measure of an angle ABC is 111 degrees i.e. [tex]m[/tex]∠ABC = 111 degrees.
Angle subtended by an Arc of a circle-Theorem
The angle subtended by an arc at the center of the circle is double the angle subtended by the same arc at the circumference of the circle.
According to the given question
The angle subtended at the center of circle, i.e. ∠ANC = 138 degrees.
The exterior angle at the center is (360 - 138)degrees = 222 degrees
by angle subtended by an Arc of a circle theorem
[tex]m[/tex]∠ABC = [tex]\frac{222}{2}[/tex] [tex]= 111 degrees[/tex]
Hence, [tex]m[/tex]∠ABC = 111 degrees.
Learn more about angle subtended at the center of circle theorem here:
https://brainly.com/question/2506683
#SPJ2
9x2 - 52x + 33 = -10x - 16
Quadratic Equation
Answers
Answer:
x=7/3 or x=2.33
Step-by-step explanation:
9x^2 - 52x + 33 = -10x - 16
Okay, lets Start by converting this into standard form, which is: ax^2 + bx + c = 0.
Add 10x+16 on both sides of the equation, and simplifying.
9x^2 - 52x + 33 + 10x + 16 = -10x - 16 + 10x + 16
9x^2 - 42x + 49 = 0
Guess What! This equation is a Perfect Square Trinomial.
For a Perfect Square Trinomial, you will be able to take the square root of the first and third terms, and the coefficient of the second term will be twice the square root of the third term. The “sign” of your second term in your answer will be the same as the linear term sign.
So this is (3x*3x) + (3x * -7 * 2) + (7 * 7) = 0
So, we can rewrite this as (3x - 7)^2=0
Now, To solve, We can set each factor equal to 0, and solve.
*Since we have a Perfect Square Trinomial, You will get one solution, or value, for x.*
Add 7 on both sides.
3x - 7 = 0
+7 +7
----------------
3x=7
Divide by 3 on both sides.
3x/3 = 7/3
x=7/3
As a decimal: 2.33...
Hope I helped, Brainliest would be appreciated :)
Have a fantastic day!
-Aadi x
Bob swam a total of 250
meters on Monday and
Tuesday. On Tuesday, the
number of meters he swam
was 30 less than 3 times the
amount he swam on
Monday. How many meters
did Bob swim on Monday?
Answers
Answer:
i think 220
Step-by-step explanation:
because if he swim 250 then 30 less it would be 220
I don't know how to solve this. How would I solve this? Thanks!!!!
Answers
Answer:
x = 11 units
Step-by-step explanation:
Area of triangle = (base + base 2) * h *1/2
so (7 + x )* 7 * 1/2 = 63
63 x 2 = 126
126 / 7 = 18
18-7 = x
x = 11
Check
(7+11)* 7 * 1/2
18* 7 = 126
126 x 0.5 = 63
CORRECT!
(p.s., tell me if wrong :P)
Alex's driveway is 27 yards long and 10 yards wide.how many feet long is the driveway
Answers
Answer:
81 feet
Step-by-step explanation:
3 feet = 1 yard
Answer:
81 feet wide
Step-by-step explanation:
1) The 10 yards wide is not necessary since we only need length.
2) There are 3 feet in a yard.
3) 27 yards multiplied by 3 feet equals = 81 feet.
4) 27 * 3 = 81 feet
please solve this ..
Answers
Answer:
3×81^x=9^{x+4}
since power of no is multiplied to its remaining power
3×3^4x=3^2{x+4}
if there is like terms then power is added
3^{1+4x}=3^{2x+8}
if there is like terms then power can be compared
so{1+4x}={2x+8}
1+4x=2x+8
4x-2x=8-1
2x=7
x=7/2 is your answer
HElppppp will mark brainlest!!!!!!
Answers
Answer:
1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent
Step-by-step explanation:
congruent is are the same size and shape, similar have different sizes.