Taiya invests $4,848 in a savings account with an interest rate of 5% compounded annually. What will Taiya's account balance be after 6 years?

Answer:

The gradient (slope) of the line is 3

Step-by-step explanation:

Use the formula for slope where [tex](x_1,y_1)\rightarrow(2,6)[/tex] and [tex](x_2,y_2)\rightarrow(10,30)[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{30-6}{10-2}\\ \\m=\frac{24}{8}\\ \\m=3[/tex]

Therefore, the gradient (slope) of the line is 3

Step-by-step explanation:

y=kx

where k is a constant

-5=k25

k=-5÷25

k=-1/5

The relationship between x an y is y=-1/5x

when x is -10

y= -1/5×-10

y=2

Pls follow

The value of y is equal to 2 when x is equal to - 10.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Assuming x = ky.

When y = - 5, x = 25.

25 = - 5k.

k = - 5.

Now, x = - 10 and k = - 5.

∴ - 10 = - 5y.

y = 2.

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Answer:

see the anaiysis for details it can be seen in the title

Step-by-step explanation:

9(x) 2x-5 =2 fix)-5

91x =2fix) -5

Answer:

24/25

20/29

Step-by-step explanation:

Trigonometry ratios:

[tex]sin(\theta)=\frac{O}{H} \\\\cos(\theta)=\frac{A}{H} \\\\tan(\theta)=\frac{O}{A}[/tex]

where O is the side opposite to the angle, A is the side adjacent to the angle and H is the hypotenuse (longest side)

As angles A and C are complementary, this implies that side b is the hypotenuse and sides a and c are the legs of a right triangle.

Referring to the attached diagram:

sin(A) = O/H = a/b

cos(C) = A/H = a/b

Therefore, sin(A) ≡ cos(C)

If sin(A) = 24/25 , the value of cos(C) = 24/25

If cos(A) = 20/29, the value of sin(C) = 20/29

Answer:

See below.

Step-by-step explanation:

x+3/9=5/9

  -3/9  -3/9

x=2/9

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

11+x=50

-11     -11

x=39

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

2/9+x=8/9

-2/9     -2/9

x=6/9 or 2/3

-hope it helps

Answer:

the answer should be 8u +6v

Step-by-step explanation:

20u+13v - 12u+7v =

8u +6v

Answer:

Step-by-step explanation:

The general term of an arithmetic sequence is ...

  an = a1 + d(n -1)

Using the given information, we can write two equations in a1 and d:

  a6 +a8 = 142 = (a1 +d(6 -1)) +(a1 +d(8 -1)) = 2a1 +12d

  a4 = 49 = a1 +d(4 -1) = a1 +3d

__

Subtracting twice the second equation from the first, we get ...

  (2a1 +12d) -2(a1 +3d) = (142) -2(49)

  6d = 44

  d = 44/6 = 22/3 = 7 1/3 . . . the common difference

Subtracting the first equation from 4 times the second gives ...

  4(a1 +3d) -(2a1 +12d) = 4(49) -142

  2a1 = 54

  a1 = 54/2 = 27 . . . the first term

_____

The sum of the first n terms of the progression is ...

  Sn = (2·a1 +d(n -1))(n/2)

The sum of the first 7 terms is ...

  S7 = (2·27 +22/3(7 -1))(7/2) = (54 +44)(7/2) = 343 . . . sum of 7 terms

Answer:

B: 10:5.

Step-by-step explanation:

To find equivalent ratios, multiply both sides by the same number.

Equivalent ratios:

Multiplied by 2: 4:2

Multiplied by 3: 6:3

Multiplied by 4: 8:4

Multiplied by 5: 10:5

Multiplied by 6: 12:6

Multiplied by 7: 14:7

Option A is incorrect, the ratio is the opposite of 2:1.

Option C is incorrect, the ratio isn't equivalent to 2:1.

Option D is incorrect, it's the same ratio as 2:1. Not a different, equivalent ratio.

Option B is correct, it's one of the equivalent ratios supported above.

Answer:

42

Step-by-step explanation:

84 divide 2

answer 42

answer =42

Answer:

3×10the power of 6

Step-by-step explanation:

because we count the number after the. point band make it the power

The answer is to complicated for my small brain so ask someone else

Check the picture below.

Answer:

s=6

Step-by-step explanation:

slope(m) = (y2-y1)/(x2-x1)

or, -3 = (-6+9)/(5-s)

or, -3(5-s) = 3

or, -15+3s = 3

or, 3s = 18

so, s = 6

Answer:

10 5/6

Step-by-step explanation

leave out whole numbers, just do fractions;

4/6+1/6=5/6

do the whole numbers

7+3=10

whole number + fraction

10 5/6

Answer:

Step-by-step explanation:

Given equation:

Solve:

Answer:

y=x(3x+2)²(x-1)

Step-by-step explanation:

for zero '0': x;

for zero '-2/3': 3x+2

for zero '1': x-1.

Finally, the correct answer is f(x)=x(3x+2)²(x-1) only.

Answer:

3x^2+6x-24+324/x+4

Step-by-step explanation:

You can use synthetic division:

Answer:

[tex]an = a1 + (n - 1)d \\ an = 3 + (n - 1)7 \\ an = 3 + 7n - 7 \\an = 7n - 4 \\ when \: \: n = 150 \\ a150 = 7(150) - 4 \\ 1050 - 4 \\ a150 = 1046[/tex]

Answer:

See below.

Step-by-step explanation:

6x-2≤9

   +2 +2

6x≤11

/6   /6

x≤11/6

4+3x>15

-4      -4

3x>11

/3   /3

x>11/3

-hope it helps

Answer:

10.63015

Explanation:  c=a2+b2=82+72

Answer:

a whole number is a complete number with no decmils or fraciton such as

3,5,2253

not

1/2,6.5,69%

45% no since percents other then 100% and 0% are not whole numbers

1/5 fraction no unless the same number on top and bottom or 0 on top

907 yep

0.50 nope never

Hope This Helps!!!

[tex]1 \times \frac{5}{6} \times 2 \times \frac{3}{4} + 1 \times \frac{5}{6} \times 1 \times \frac{3}{4} [/tex]

[tex] = \frac{11}{6} \times \frac{11}{4} + \frac{11}{6} \times \frac{7}{4} [/tex]

Multiply them and after we'll add them

[tex] = \frac{121}{24} + \frac{77}{24} [/tex]

Use L.C.M

[tex] = \frac{198}{24} answer[/tex]

Answer:

6160 yards

Step-by-step explanation:

One mile = 1760 yards, so we multiply 1760 by 3.5 to find how many yards 3.5 miles is.

Therefore, the answer is 6160 yards.

The number of yards long is the Red Trail will be 6160 yards.

Conversion means converting the same thing into different units.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The Red Trail is 3.5 miles long. Then convert the miles into yards. Then we have

We know that in one mile, there are 1760 yards. Then we have

⇒ 3.5 miles

⇒ 3.5 x 1760 yards

⇒ 6,160 yards

The number of yards long is the Red Trail will be 6160 yards.

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Answer:

18.75

Step-by-step explanation:

Cuanto es 25% de 75?

Para calcular este tanto por ciento, sugerimos usar esta fórmula:

% / 100 = Parte / Total

Sustituyendo los valores proporcionados:

25 / 100 = Parte / 75

Realizando la Multiplicación en cruz:

25 x 75 = 100 x Parte, o

1875 = 100 x Parte

Ahora es sólo dividir por 100 y obtener la respuesta:

Parte = 1875 / 100 = 18.75

Answer: 26.5°

Step-by-step explanation:

First angle: 180 - (x + 16) = 180 - x - 16 = (164 + x)°

Second angle: 180 - (3x - 1) = 180 - 3x + 1 = (181 - 3x)°

Third angle: (180 - 5x)°

Fourth angle: (180 - 6x)°

Seeing that the sum of angles in any given quadrilateral is 360°,

(164 + x) + (181 - 3x) + (180 - 5x) + (180 - 6x) = 360

164 + x + 181 - 3x + 180 - 5x + 180 - 6x = 360

705 - 13x = 360

345 = 13x

x = [tex]26\frac{7}{13}^{o}[/tex]

x = 26.5° (1dp)

Answer:

→Loss=Rs100

Step-by-step explanation:

Solution,

→CP of a quintal of potatoes=Rs4000

→Sp of a quintal of potatoes=Rs390 per 10kg

→SP of 1 kg of potatoes=rs390/10=Rs39

→SP of 100kg(a quintal)=Rs39 x 100=Rs3900

Here,

→SP<CP=Loss

→Loss=CP-SP

→Loss=Rs4000-Rs3900

→Loss=Rs100

#1

[tex]\\ \tt\hookrightarrow -4+5=1[/tex]

#2

[tex]\\ \tt\hookrightarrow a-b=x-x+1=+1[/tex]

#3

[tex]\\ \tt\hookrightarrow 42-66-(100-24)[/tex]

[tex]\\ \tt\hookrightarrow -24-76[/tex]

[tex]\\ \tt\hookrightarrow -100[/tex]

Step by Step Solution for Part-1:

We know that:

Solution:

Step by Step Solution for Part-2:

We know that:

Solution:

Step by Step Solution for Part-3:

Answer:

y=0.99c+9.99

Step-by-step explanation:

its 0.99 so you got to times it by the number since we have no number we are using the letter c as a substitute then add the membership fee

Answer:

0.99c + 9.99

Step-by-step explanation:

We know one part of the expression is going to be $0.99c, since it's $0.99 per custom skin, and c is the number of custom skins were getting.

Then we must add on the 9.99 on top of that, since that is the one-time membership fee. This is what the equation looks like :

0.99c + 9.99

Hope this helps :)

Answer: 11x

3x + 6x + 2x

3x + 8x

11x