17. Jing has $800 to deposit into two different savings accounts.
•She will deposit $600 into an account that earns simple interest annually at a rate
of 2.75%.
•She will deposit $200 into an account that earns 2.5% interest compounded
annually.
Jing will not make any additional withdrawals or deposits. Which amount is closest
to the total balance of the two accounts at the end of 3 years?

Answers

Answer 1

Answer:

$864.88

Step-by-step explanation:

(1. $600 + $49.50 = $649.50

(2. $200 + $15.38 = $215.38

$649.50 + $215.38 = $864.88

A = $864.88


Related Questions

R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the values of a and b?

Answers

Answer:

[tex]a = 3.7464[/tex]

[tex]b = 16[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Express the answer in [tex]a * 10^b[/tex]

From the question, we have:

[tex]People = 4.46 * 10^9[/tex]

[tex]Breath = 8.4 * 10^6[/tex] breath/person in a year

The number of breath is calculated by:

[tex]Overall = People * Breath[/tex]

So, we have:

[tex]Overall = 4.46 * 10^9 * 8.4 * 10^6[/tex]

Reorder

[tex]Overall = 4.46 * 8.4* 10^9 * 10^6[/tex]

[tex]Overall = 37.464* 10^{9+6}[/tex]

[tex]Overall = 37.464* 10^{15}[/tex]

Using scientific notation [tex]a * 10^b[/tex];

The value (a) must be in the following interval [tex]0 \le a \le 1[/tex]

So, we have:

[tex]Overall = 3.7464 * 10 * 10^{15[/tex]

[tex]Overall = 3.7464 * 10^{16[/tex]

By comparing the above with: [tex]a * 10^b[/tex]

[tex]a = 3.7464[/tex]

[tex]b = 16[/tex]

What are the solutions of the equation (x – 8)2 = 144?

Enter your answer as the correct values, separated by a comma, like this: 42,53

If your answer includes a fraction, use the / symbol.
enter it like this: 3/14

Answers

[tex]x = 80[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](x - 8)2 = 144 \\ ⇢ 2x - 16 = 144 \\ ⇢ 2x = 144 + 16 \\ ⇢ 2x = 160 \\ ⇢ x = \frac{160}{2} \\ ⇢ x = 80[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify }}{\orange{:}}}}}[/tex]

[tex]2x - 16 = 144 \\ ➵ \: 2 \times 80 - 16 = 144 \\ ➵ \: 160 - 16 = 144 \\ ➵ \: 144 = 144 \\ ➵ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

When graphing the coordinate (3,4) you would...

A. first move 3 coordinates up the y axis and then 4 coordinates over the the x axis

B. first move 3 coordinates over on the x axis and then 4 coordinates up the y-axis

Answers

The answer is B

You would first move 3 coordinates over on the x axis and then 4 coordinates up the y axis.

A gardener has a rectangle garden with an area of 374 yd.²The length of the garden is 17 yards the gardener wants to enlarge the garden by doubling only the width of the current garden how much fencing will the gardener need to enclose a new garden?

Answers

Answer:

105 yards

Step-by-step explanation:

The other side is Width = 374/17 = 22.

So, the new width is 44 ( and the length is 17/2).

Perimeter = 2(17/2) + 2(44) = 17+88=105 yds.

So, 105 yards.

Mark me as Brainliest if this is correct! I really appreciate it! :D

The perimeter of the new garden is 105 yards

The area of a rectangle is expressed as:

A = lw

w = A/l

w = 374/17

w = 22 yards

The perimeter of the new garden if the width is doubled is expressed as:

P = 2(l + w)

P = 2(17/2 + 2(22))

P = 17 + 88

P = 105 yards

Hence the perimeter of the new garden is 105 yards

Learn more on perimeter of rectangle here: https://brainly.com/question/19819849

Find the midpoint M of CD
M = (x, y
C = (-2,-10) D = (-6,0)
M = ([?],[ ]
Enter the number that belongs in the green box.
Enter
Any answers???

Answers

Answer:

(-4,-5)

Step-by-step explanation:

Given :

M ( x,y) C ( -2,-10)D (-6,0)

[tex] \implies[/tex] Midpoint = ( -2-6)/2 , (-10+0)/2

[tex] \implies[/tex] M = ( -8/2 , -10/2 )

[tex] \implies[/tex] M = (-4 , -5)

Hence the midpoint is (-4,-5) .

(6x2 -5x + 10) - (2x2 -x +13)

Answers

Answer:

-4x + 5 ?

sorry if wrong

23/147 yd × 3/14 after reducing them by a factor of 2/147 what are the original dimensions of the playground in yards? Write your answer with mixed numbers

Answers

Answer:

So the dimensions are 11 1/2 yds × 15 3/4 { 11 whole number 1 by 2 yards multiplied by 15 whole number 3 by 4}

Step-by-step explanation:

Here multiplicative property will be used .

a*1/a= 1

1* a/1= a   ( reciprocal)

23/147 yd × 3/14 will be multiplied with the reciprocal of the factor 2/147 to

get the original number.

23/147 yd*147/2 × 3/14*147/2

23/2 yds  × 441/28

11 1/2 yds × 15 3/4

So the dimensions are 11 1/2 yds × 15 3/4  11 whole number 1 by 2  multiplied by 15 whole number 3 by 4.

Unit 9 test: Trigonometry
What is the right answer to this problem?

Answers

Answer:

x = 10.5

Step-by-step explanation:

[tex]cos 65 =\frac {adjacent}{hypotenuse} \\\\0.4226 = \frac{x}{25}\\\\0.4226 \times 25 = x \\\\x = 10.565[/tex]

Answer:

Step-by-step explanation:

take 65 degree as reference angle

using cos rule

cos 65=adjacent/hypotenuse

0.42=x/25

0.42*25=x

10.5=x

What is the length of the hypotenuse?

A. 10
B. 14
C. 48
D. 100

Answers

Option A= 10

Process

Using Pythagoras Theorem,

8²+6²= (hypotenuse)²

64+36= (hypotenuse)²

(hypotenuse)²= 100

hypotenuse= √100

hypotenuse= 10

So Option A= 10

Hope This Helps You ❤️

Answer:

The hypotenuse is A. 10.

Step-by-step explanation:

To find the length of hypotenuse we can use  the pythagoras theorem formula:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]=>6^{2} +8^{2} = c^{2}[/tex]

[tex]=> 36 + 64 = c^{2}[/tex]

[tex]=> 100 =c^{2}[/tex]

[tex]=> c = \sqrt{100}[/tex]

∴ [tex]c[/tex] [tex]= 10[/tex]

PLEASE HELP ME ASAP!! What is the value of x in simplest radical form? х 13 84

Answers

Answer:

x =2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Use pythag to create your equation.

x^2+5^2=7^2

x=[tex]\sqrt{24}[/tex]

In simplest radical form: x =2[tex]\sqrt{6}[/tex]

PLEASSE HELP MEEE!!!!!!1

Answers

Answer:

2 cuts

Step-by-step explanation:

Get the height of the tree first

Using SOH CAH TOA identity;

Sin theta = opp/hyp

Sin 70 = /6

H = 6sin70

H = 6(0.9397)

H = 5.6381

Hence the height of the tree is 5.64m

Initial cut = 4m

Remaining height of trunk = 5.64 - 4 = 1.64

This means that he only need to make 2 cuts to cart the whole tree away

a dice cube has 6 sides that are numbered 1-6. If the cube is thrown once, what is the probability of rolling an odd number?

Answers

Answer:

3/6 or 1/2

Step-by-step explanation:

1, 2, 3, 4, 5, 6

3 odd #s and 3 even #s

3/6 are odd which means 3/6 probability of rolling an odd #

Answer:

1/2

Step-by-step explanation:

There are 3 odd numbers 1,3,5 so 3/6 which equals 1/2

:DDDDD

Find the value of x.

Answers

Answer:

70.86 degrees

Step-by-step explanation:

cos x = adjacent side / hypotenuse

= 2/6.1 = 0.32787

x = 70.86.

Answer:

x ≈ 70.9°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{2}{6.1}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{2}{6.1}[/tex] ) ≈ 70.9° ( to 1 dec. place )

Sophie caught twice as many fish as her
dad. If her dad caught Ffish, how many
fish did Sophie catch?
A. F + 2
B. F-2
C. Fx 2
D. F/2

Answers

Answer:

C. F × 2

Step-by-step explanation:

Twice as many infers multiplication. Since Sophie caught twice as many as her dad, then we would multiply the number of her dad's caught fish by 2. The question states her dad's caught fish is represented by variable F so it would be:

F × 2

I don’t know how to do this

Answers

Answer:

x-10

Step-by-step explanation:

PLS HELP ILL MARK BRAINLIST

Answers

Answer:

76 m²

Step-by-step explanation:

The figure has been decomposed into 3 rectangles as shown in the attachment. Therefore:

Area of the figure = area of rectangle 1 + area of rectangle 2 + area of rectangle 3

✔️Area of rectangle 1:

Area = L*W

L = 2 m

W = 4 m

Area = 2*4 = 8 m²

✔️Area of rectangle 2:

Area = L*W

L = 4 m

W = 6 - 4 = 2 m

Area = 4*2 = 8 m²

✔️Area of rectangle 3:

Area = L*W

L = 10 m

W = 6 m

Area = 10*6 = 60 m²

✅Area of the figure = 8 + 8 + 60

= 76 m²

sr nie wiem o co chodzi ale muszę to zrobić do 18 pani od korków mi tak przysłała lol. DAJE NAJ !!!

Answers

Answer:

(1/2)^2= 0.25 thank you

9. Derrick invested $40,000 in a 529 college fund for his son. If the
account was assigned a 2.25 % interest rate compounded daily, how much
was in the account after 10 years? Round your answer to the nearest
whole number.
O A. $50,093
O B. $59,020
о
C. $65,000
O D. $69,520

Answers

Answer:

the answer is c

Step-by-step explanation:

Triangle EFG is similar to triangle HIJ. Find the measure of side IJ. Round your answer to the nearest tenth if necessary.

Answers

Answer:

50.3

Step-by-step explanation:

11/7 = x/32

7x=352

50.28

50.3

margo has 6 square tiles of equal size. each side of each tile is 0.8 inch long. if margi places all the tiles in a row with sides touching, how long is the row?

Answers

༆PROBLEM:

—————————————————

Margi has 6 square tiles of equal size. each side of each tile is 0.8 inch long. If Margi places all the tiles in a row with sides touching, how long is the row?

༆SOLUTION:

—————————————————

[tex]\mathrm{N = 6×0.8 \: inch}[/tex]

[tex]{\boxed{\mathrm\green{N = 4.8 \: inch}}}[/tex]

༆ANSWER:

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{➢4.8 \: inch}}}}[/tex]

If Margi places all the tiles in a row with sides touching, the row will be 4.8 inch long!

help me with C please

Answers

Answer:

your answer is going to be b Find the product of A and B

Step-by-step explanation:

Hmmm the answer will be in total 45-80 witch equals your mom

when did the united states get it independence​

Answers

Answer:

4th July 1776

Step-by-step explanation:

4th July is marked as independence day

In 1776 ...................

How many ways are there to fill the four committee positions?

Answers

Answer:

3 ways

Step-by-step explanation:

since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee

Find the equation of the line passing through the point (-6,4) that is perpendicular to the line 5x+3y=5

Answers

9514 1404 393

Answer:

  3x -5y = -38

Step-by-step explanation:

The equation of the perpendicular line can be formed by swapping the coefficients of x and y in the given equation, negating one of them. The new constant will be the one that lets the given point satisfy the equation.

  given: 5x +3y = 5

  perpendicular: 3x -5y = constant

At the given point, the constant is ...

  3(-6) -5(4) = -18 -20 = -38

So, the desired equation is ...

  3x -5y = -38

The ratio of tomatoes to red apples is 2: 5. If there are 20 tomatoes,
how many red apples are there?
please I need help I'm not good at ratio

Answers

Answer:

50 red apples

Step-by-step explanation:

Ratio: 2:5

Tomatoes: 20

20/2 = 10

5 x 10 = 50

There are 50 apples.

7.


A. [tex]y=\frac{1}{3}x^2, y=-9x^2, y=-\frac{1}{2}x^2[/tex]

B. [tex]y=-\frac{1}{2}x^2, y=\frac{1}{3}x^2, y=-9x^2[/tex]

C. [tex]y=-9x^2, y=\frac{1}{3}x^2, y=-\frac{1}{2}x^2[/tex]

D. [tex]y=\frac{1}{3}x^2, y=-\frac{1}{2}x^2, y=-9x^2[/tex]

Answers

Answer:

D

Step-by-step explanation:

You borrow $225 for eight years of an interest rate of 6%. How much interest will you pay after eight years?

Answers

Answer:

You will pay $13.50 in interest and end up paying $238.50 total after the eight years

Step-by-step explanation:

225 x 0.06 = 13.5

225 + 13.5 = 238.5

Answer:

you pay 108 dollars after 8 years

what is the slope of the line that passes through the points (3,-20) and (5,8)?

Answers

Answer:

14

Step-by-step explanation:

The equation to find slope is [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]. You plug in the values to get [tex]\frac{8-(-20)}{5-3}[/tex]. This simplifies to [tex]\frac{28}{2}[/tex], which is 14.

PLEASE HELP, THANKS SO MUCH!! EXPLAIN UR ANSWER = BRAINLIEST

Answers

Answer:

2571.14 m^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The diameter is 17 so the radius is 1/2 of the diameter or 17/2 =8.5

V = 4/3 (3.14) (8.5)^3

 = 2571.13666

Rounding to the nearest hundredth

 = 2571.14 m^3

Answer:   2571.14

=================================================

Work Shown:

V = (4/3)*pi*r^3

V = (4/3)*3.14*(8.5)^3

V = 2571.13666666667 which is approximate

V = 2571.14

-------------

Notes:

The units for the volume are in cubic meters, or m^3. Think of a 1 m by 1 m by 1 m block, the volume of which is 1*1*1 = 1 m^3.The diameter is 17 meters, half of which is 17/2 = 8.5 meters. So the radius is r = 8.5In the second to last line, the '6's go on forever. It's only due to rounding is why that '7' shows up.The answer above is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate volume. However, your teacher wants you to use pi = 3.14

La promoción de 5to grado de secundaria "Jóvenes caminando hacia el éxito" han estado realizando actividades

para su viaje y fiesta de promoción, logrando hasta la fecha juntar la suma de S/. 24 000. Por ello, el comité de

padres de familia convocó una reunión general para decidir dónde depositar el dinero, presentando dos opciones

de ahorro:

Opción 1: Depósito por 2 años que paga el 10% trimestral en interés simple.

Opción 2: Depósito por 2 años en una cuenta que paga el 18% de semestral compuesto anual.

Ayuda a los padres de familia de la promoción a elegir la mejor opción.







ACTIVIDAD 2:
Carolina y Carla son dos hermanas gemelas quienes ganaron S/.3450 en el Bingo organizado por su parroquia,
decidiendo gastar S/. 1450 en un viaje a Cuzco y repartirse el resto en partes iguales. Cada hermana decidió
ahorra en su Banco de confianza. ¿Cu

Answers

Answer:

Los padres de la promoción deben elegir la Opción 1, porque da un mayor interés en la inversión.

Step-by-step explanation:

El monto recaudado por la escuela secundaria = S / 24,000

Las opciones que tienen los padres para depositar el dinero son;

Opción 1:

El interés simple del depósito = 10%

El número de veces que se aplica el interés anualmente = Trimestral

El número de años para el depósito = 2 años

opcion 2

La tasa de interés del depósito, r = 18% de interés simple.

El número de veces que se aplica el interés = Semestralmente

La cantidad de años que se ahorrará la cantidad = 2 años

Opción 1

Observamos que para el interés simple no hay interés ganado sobre el interés anterior.

Por lo tanto;

Una inversión que paga el 10% trimestralmente = (1/4) año pagará 4 × 10% = 40% en 4 × (1/4) año = 1 año

La cantidad de interés ganado en 2 años invirtiendo en la opción 1 se da como sigue;

Yo = P × R × T / (100)

∴ I₁ = 24.000 × 40 × 2/100 = 19.200

El interés después de 2 años en la opción 1, I₁ = S /. 19.200

opcion 2

Una inversión que paga 18% semestralmente = (1/2) año pagará 2 × 18% = 36% en 2 × (1/2) año = 1 año

La cantidad de interés ganado en 2 años invirtiendo en la opción 2 se da a continuación;

Yo = P × R × T / (100)

∴ I₂ = 24.000 × 36 × 2/100 = 17.280

El interés después de 2 años en la opción 2, I₂ = S /. 17.280

Dado que el interés dado por la opción 1, I₁ = S / .19,200 es mayor que el interés dado por la opción 2, I₂ = S /. 17.280, los padres de la promoción deben elegir la opción 1, que es depositar durante 2 años que paga un interés simple trimestral del 10%

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