You deposit $2000 in an account that earns 5% annual interest. Find the balance in the account after 8 years if the interest is compounded monthly

FORMULA FOR COMPOUND INT. = A = P ( 1 + [tex]\frac{R}{100}[/tex])[tex]^{n}[/tex]

= P = 2000, R = [tex]\frac{5}{12}[/tex] ( as it is compounded monthly ), N= 8 × 12 = 96

= A = 2000 [tex]([/tex] 1 + [tex]\frac{5}{1200}[/tex] [tex])^{96\\}[/tex] = [tex]\frac{2000}{1}[/tex] × ([tex]\frac{1205}{1200}[/tex]) [tex]^{96}[/tex]

= 2981.17

x + 2x + 3 + 3 = 3(x + 2)

Jane multiplies her number by three and subtracts 2.
Elliot multiplies his number by 2 and adds 3.
When they multiply their results together, the product is 110.
They both chose the same number to start with. What was their number?

Factor 2x2 - 6x + 4 completely.

Kelly has $4000 in her bank account. She is withdrawing $80 per month to pay off a loan. Dylan has only $1500 in his
bank account but is saving $60 per month. After how many months will Dylan’s account have more money than Kelly?

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Which inequality is equivalent to 4x-2y≤8?

A. y≤-2x-4
B. y≥2x-4
C. y≤2x-4
D. y≥-2x-4

When we say we are going to distribute a
factol using the distributive
property, what operation are we using?

Someone please please help me ASAP

teachers surveyed the sixth grade students to determine which elective they wanted to take during their seventh grade year. The options were art, music or drama. 60 students voted for art, 42 students voted for music, and 58 students voted for drama. What percent of students voted to take art as their elective in the seventh grade?


Please show your work on how you got the answer. I'm struggling

Which plot event typically concludes the setup section of the plot?

the resolution
the denouement
the climax
the inciting incident

What your favorite movie? also what is 144/6

I’d like some help with this question.
(Multiple choice)

Solve: k = -45 ÷ (-15).
GIVING BRAINLIST!!!

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What does 2 to the power of 8 equal?

The formula for the density of an object is d = , where m is the mass and
volume. Solve the formula for m in terms of d and V.

(Answer for M)

Identify the constant of
proportionality for the
table below.

4. A bag of rice at the warehouse store weighs
15 pounds. Maya needs to buy rice for her
restaurant. Write an equation that can be
used to find the pounds of rice, p, in any
number of bags of rice, r.

x = 10 - y
3x - 2 = y
Using the two equations above, solve for y.
The Options
A. y = 4
B. y = 7
C. y = 13
D. y = 14

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For the following graphed line, what are the slope and y-intercept

The coffee shop on the corner of the street has 14 cheese croissants and 21 plain croissants. If
buy 1 cheese croissant will the ratio of each cheese croissant to plain croissant remain the
same? Explain your answer."

Plss helpppp

help i cannot write proportions

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NEED HELP NOW! 5 questions, 76 points!


1.
Given points B(−12,2), T(−8,10), A(−7,12), F(−6,10), and G(−2,2), which of the following proves that △BAG~△TAF?


2.
Given points A(2,1), B(1,4), C(−1,10), D(8,13), and E(4,5), which of the following proves that △ABE~△ACD?
Answers:

By the Distance Formula,AB=310‾‾‾√,AC=10‾‾‾√, AE=65‾√, and AD=25‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SAS ∼.


By the Distance Formula,AB=310‾‾‾√,AC=10‾‾‾√, AE=65‾√, and AD=25‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SSS ∼.

By the Distance Formula,AB=10‾‾‾√,AC=310‾‾‾√, AE=25‾√, and AD=65‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SSS ∼.

By the Distance Formula,AB=10‾‾‾√,AC=310‾‾‾√, AE=25‾√, and AD=65‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SAS ∼.



3.
Given points M(1,2), N(4,4), P(5,−1), J(−7,−1), K(−1,3), and L(1,−7), which of the following proves that △MNP≈△JKL?
Answers:

By the Distance Formula,MN=13‾‾‾√,NP=26‾‾‾√, and PM=5.Also, JK=213‾‾‾√,KL=226‾‾‾√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SAS ∼.

By the Distance Formula,MN=13‾‾‾√,NP=26‾‾‾√, and PM=5.Also, JK=213‾‾‾√,KL=226‾‾‾√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SSS ∼.

By the Distance Formula,MN=13,NP=26, and PM=25.Also, JK=52,KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SSS ∼.

By the Distance Formula,MN=13,NP=26, and PM=25.Also, JK=52,KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SAS ∼.



4.
Given points M(−5,5), R(−2,6), I(−2,4), B(2,−2), A(8,0), and G(8,−4), which of the following proves that △MRI~△BAG?
Answers:

By the Distance Formula,MR=10‾‾‾√,RI=2, and IM=10‾‾‾√.Also, BA=210‾‾‾√,AG=4, and GB=210‾‾‾√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI~△BAG by SSS ~.

By the Distance Formula,MR=10,RI=2, and IM=10.Also, BA=40,AG=8, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SSS ∼.

By the Distance Formula,MR=2,RI=10, and IM=10.Also, BA=8,AG=40, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SAS ∼.

By the Distance Formula,MR=10‾‾‾√,RI=2, and IM=10‾‾‾√.Also, BA=210‾‾‾√,AG=4, and GB=210‾‾‾√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI∼△BAG by SAS ∼.



5.
Given points L(−2,−2), A(−6,−3), U(−14,−5), X(4,−5), and P(0,−3), which of the following proves that △XUL~△PAL?

By the Distance Formula,LX=317‾‾‾√,PL=17‾‾‾√, LA=5‾√, and LU=35‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SSS ∼.

By the Distance Formula,LX=35‾√,PL=5‾√, LA=17‾‾‾√, and LU=317‾‾‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SAS ∼.

By the Distance Formula,LX=35‾√,PL=5‾√, LA=17‾‾‾√, and LU=317‾‾‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SSS ∼.

By the Distance Formula,LX=317‾‾‾√,PL=17‾‾‾√, LA=5‾√, and LU=35‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SAS ∼.

a baker is making bread dough. He uses 4 cups of flour every 3 ounces of water. How many ounces of water will he use if he uses 96 cups of flour

What is the value of x (x+35) (3x+1)

slope = 3/4 ; (2,2) Identify the slope intercept form for the line with the given slope that contains the given point.​

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7 1 1 7 1 41
Mode ??
Median ??