Over the last 16 years Johanna saved some of her pay each month. She now has $46,000. She decides to invest some
of it at 5.25% annual interest and the rest at 3.75% annual interest. After one year, her total interest earned from both
accounts is $2001. How much did she invest in each account? (Clearly label which amount is for which account in
your answer.

Answer:

Angle AFE = 102(degree symbol)

Step-by-step explanation:

supplementary means two angles that add up to 180

hope this helps! :)

Answer:

The angle supplementary to ∠AFB is ∠EFA.

The reason why this is, is because a supplementary angle consists of two angles that have a sum of 180°.

Supplementary angles combine to form a straight line.

In this case, ∠EFA is the supplement of ∠AFB because, ∠EFA is the other part of the angle, AFB, that creates a full straight line(180°).

And to find the value of m∠EFA you would need to arrange an equation.

Since we know that the given angle measure of AFB is 78°, ∠EFA would have to equal a different measure so that both measures will have a sum of 180°.

We will consider the value of m∠EFA to be 'x' in our equation, so;

x + 78 = 180°

Solve for x:-

-78        -78

x = 102°, therefore m∠EFA = 102°.

Answer:

oh that's hard lol just go to the lowest number and times it on a piece of paper

Answer:

x=5

Step-by-step explanation:

A= 1+4+4+(-4)=5

B= 8+5+4+(-5)=15

15-5=10

10/2=5

x=5

Answer:

difference ≈ 61.3 cm

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

difference = 24π - 4.5π = 19.5π ≈ 61.3 cm ( to 1 dec. place )

Answer:

12.2

Step-by-step explanation:

use the Pythagorean theorem to determine the diagonal

9.9^2 + 7.2^2 = d^2

d = 12.2

________________________________________________

[tex]Substitute\ x=4\ into\\ f(x)=7x^2+4x-6[/tex]

_________________________________________________

[tex]f(4)=7\times 4^2+4\times 4-6[/tex]

___________________________________________________

[tex]f(4)=7\times 16+4\times 4-6[/tex]

___________________________________________________

[tex]f(4)=112+4\times 4-6\\ f(4)=112+16-6[/tex]

___________________________________________________

[tex]f(4)=128-6\\ f(4)=122[/tex]

I hope this helps you

:)

Answer:

12,200

Step-by-step explanation:

The mean of the data is 20038.24, the median is 16050 while the number with the highest frequency is 11500

Mean are known as averages, median is the middle value after rearrangement while the mode is the value with the highest frequency

Calculate the mean

Mean = sum of data/sample size

Given the data

29300, 24350, 32400, 15100, 14200, 21950, 27450, 29400, 15200, 35050, 16050, 11500, 13050, 11500, 11600, 11100, 21450

The mean of the data is 20038.24

For the median being the value at the middle, the median is 16050 while the number with the highest frequency is 11500

Learn more on mean, median and mode here: https://brainly.com/question/14532771

38.1 units^2

Step-by-step explanation:

you can use the formula: 1/2(ab)(sin c)

plug it in: 1/2(16*7)(sin 138)

simplify: 57sin138

plug it into your calculator: 38.1 (rounded)

If you found this answer helpful, I would appreciate if you gave me the brainliest award :D.

Answer:

37.5

Step-by-step explanation:

For acellus

Answer:

slope = 1/2

Step-by-step explanation:

we rise 1 and run 2 which gives us y=1/2x

Answer:

[D] 1/14

Step-by-step explanation:

Question to answer:

What is the probability of picking an orange marble and flipping tails?

Solve:

let see how many orange marbles are there:

As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.

Now let see how many side a coin have:

As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.Now multiply straight across:

1/2 × 1/7

→ 1 × 1 = 1

→ 2 × 7 = 14

Thus, the result is 1/14

Hence, the answer is [D] 1/14

~lenvy~

Answer:

[tex]\sf D)\quad\dfrac{1}{14}[/tex]

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(\textsf{orange marble})=\dfrac{1}{7}[/tex]

[tex]\implies \sf P(\textsf{tails})=\dfrac{1}{2}[/tex]

[tex]\implies \sf P(\textsf{orange marble})\:AND\:P(\textsf{tails})=\dfrac{1}{7} \times \dfrac{1}{2}=\dfrac{1}{14}[/tex]

Step-by-step explanation:

I hope this helps, you can ask any question for clarification

Answer:

y = - 1/2 x + 1

Step-by-step explanation:

Answer:

y = -1/2x + 1

Step-by-step explanation:

m, rise/run = (2 - 4)/(-2 + 6) = -2/4 = -1/2

b, y-intercept = (0, 1)

y = mx + b

y = -1/2x + 1

we're given that x is greater than 4 (the symbol ">" indicates "greater than)

5 is greater than 4. Let's plug it in :

|5-4|

|1|

1 (remember, absolute value is always positive).

Now let's try 6 :

|6-4|

|2|

2

hope helpful ~

no se cómo se hace está operación de verdad lo siento

Answer:

  $100

Step-by-step explanation:

Debbie's earnings are found by multiplying her commission rate by her sales:

  0.25 × $400 = $100

Debbie earns $100 commission on her sales.

Answer:

2<x<_5

Step-by-step explanation:

Answer:

y = - ½(x - 2)² + 3

Step-by-step explanation:

Step-by-step explanation:

the sum of interior angles in a triangle is 180°.

the sum of interior angles of a polygon, is the product of the number of triangles in the polygon (that can be created from a single vertex or corner via lines to all other corners) and 180°.

so, in reality, the number of triangles in each polygon is two less than the number of sides (because the lines to the 2 neighboring corners are sides and do not create triangles).

so the formula for the sum of all interior angles is

(n - 2) × 180

with n being the number of sides of the polygon.

in our case

(14 - 2) × 180 = 12×180 = 2160°

Answer:

y=-3(x-2)^2+4

Step-by-step explanation:

The general equation for the data given is y = a(x-2)^2 + 4 based on the vertex information.

To find a, we use (3,1) to substitute. 1 = a(3-2)^2 + 4   or  a = -3

So the full equation is y = -3(x-2)^2 + 4

Step-by-step explanation:

sum of angles in ∆ = 180

48+6x-28+2x = 180

20+4x = 180

4x = 160

x = 40

b = 212

c = 80

Answer:

[tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Substitute -1 in place of y in the equation:

[tex]3x -4(-1)=11\\3x=7\\x=\frac{7}{3}[/tex]

Answer:

(7/3, -1)

Step-by-step explanation:

3x -4y=11

Let y = -1

3x -4(-1) = 11

3x +4 =11

Subtract 4 from each side

3x+4-4 = 11-4

3x = 7

Divide each side by 3

3x/3 = 7/3

x = 7/3

For a shape to be defined as a quadrilateral it has to have 4 sides.

For a shape to be defined as a triangle it has to have 3 sides, with the angles adding up to 180°

For a shape to be defined as a square it has to have 4 sides and angles. The angles must add up to 360° with equal side and angle length.

Answer:

Shapes are the outlines formed from a given area of figure. The characteristics of shapes vary and depend on what the given shape is. Here are the characteristics of a quadrilateral, triangle, and square.

1. Quadrilateral- Quadrilaterals should have four sides and four corners. As long as these two are present, you can call any shape a quadrilateral regardless of how it is formed.

2. Square- A square is a quadrilateral, so it must contain four sides and four corners. However, a square has its sides and corners equally made.

3. Triangle- A triangle should have three sides or vertices and three corners.

Step-by-step explanation:

The distance between you and your friend rounded  to the nearest tenth is 10.7 feet.

The distance between you and your friend can be found using cosine rule.

Therefore,

c²  =a² + b² - 2ab cos C

Therefore,

let

x = distance between him and his friend

x² = 7² + 6² - 2 × 7 × 6 cos 110°

x² = 49 + 36 - 84 × -0.34202014332

x² = 49 + 36 + 28.7296920394

x² = 113.729692039

x = √113.729692039

x = 10.6644124076

x = 10.7 ft

learn more on triangle here: https://brainly.com/question/2838446

Answer:

[tex]\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 10~ \text{ft}[/tex]

Step by step explanation:

[tex]\text{Width} =x\\\\\text{Length}=2x+1\\\\~~~~~~~\text{Area} = 45~\text{ft}^2\\\\\implies x(2x+1) =45\\ \\\implies 2x^2+x = 45\\\\\implies 2x^2 +x-45=0\\\\\implies 2x^2+10x -9x -45 =0\\\\\implies 2x(x+5) -9(x+5)=0\\\\\implies (2x-9)(x+5) =0\\\\\implies x=\dfrac 92, ~~ x\neq -5\\\\\text{Hence,}\\\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 2\cdot \dfrac 92 +1 = 10~ \text{ft}[/tex]

Answer:

Length 10 ft.

Width 4.5 ft.

Step-by-step explanation:

If the width is x ft then the length is 2x + 1 ft.

Area = width * length, so:

45 = x(2x + 1)

45 = 2x^2 + x

2x^2 + x - 45 = 0

2x^2 + 10x - 9x - 45 = 0

2x(x + 5) - 9(x + 5) = 0

(2x - 9)(x + 5) = 0

x = 4.5, -5.

So x = 4.5   ( as the width cannot be negative).

Therefore the dimenions of the rectangle are

width = 4.5 ft, length = 2(4.5) + 1 = 10 ft.

Answer:

2 1/4

Step-by-step explanation:

To find the difference, we must subtract the smaller number from the bigger one. In this case, the equation is 12 2/4 - 10 1/4.

Let us set aside the fraction and subtract 10 from 12 first.

12 - 10 = 2

Therefore, the whole number of the difference will be 2.

Let's solve for the fraction now.

2/4 - 1/4 = 1/4

Therefore, the fraction in the answer will be 1/4.

Add 2 and 1/4 to get 2 1/4, which is the answer.

I hope this helps and please mark me as brainliest!