What is a secure line of credit?

Answer:   $ 4860

Step-by-step explanation:

Formula : Amount = P (1+rt) , P = principal value , r= rate of interest , t= time

Given ; P= $4500  , r =  4% = 0.04 , t = 2years

Total amount we will have to pay back to the bank = [tex]4500(1+0.04\times 2)[/tex]

[tex]=4500(1+0.08)\\\\=4500(1.08)\\\\=\$ 4860[/tex]

Hence, the total amount we will have to pay back to the bank = $ 4860

Answer:

6 pieces

Step-by-step explanation:

Total pieces of art = 120

He puts 5% of them in an art show

How many pieces of art dose Jason put in the art show ?

pieces of art dose Jason put in the art show = 5% of 120

= 5/100 × 120

= 0.05 × 120

= 6

Therefore, Jason put 6 pieces of art dose in the art show

Answer:

-8/5

Step-by-step explanation:

Answer:

JD is wrong.

Although, the volume of the cube shaped box V' = 421.88 in³  > volume of the sphere V = 268.1 in³, the sphere cannot fit into the box because its diameter, d = 8 in > side of cube = 7.5 in.

Step-by-step explanation:

The sphere would only fit into the cube shaped box if its diameter is less than the length of side of the cube L = 7.5 inches.

So, diameter of sphere d = 2r where r = radius of sphere = 4 inches. Thus, d = 2r = 2(4 in) = 8 in.

Since the diameter of the sphere d = 8 inches > length of side of the cube = 7.5 inches, the sphere would not fit into the box.

So, JD is wrong.

We calculate both the volume of the sphere and cube.

Volume of a sphere V = 4πr³/3 where r = radius of sphere = 4 inches

So, V = 4πr³/3

= 4π(4 in)³/3

= 4π(64) in³/3

= 256π in³/3

= 804.25 in³/3

= 268.1 in³

Volume of a cube V' = L³ where L = length of side of cube = 7.5 inches

So, V' = L³

= (7.5 in)³

= 421.88 in³  

Although, the volume of the cube shaped box V' = 421.88 in³  > volume of the sphere V = 268.1 in³, the sphere cannot fit into the box because its diameter, d = 8 in > side of cube = 7.5 in.

Answer:

1over1 because it goes up by 1 and right by 1. u welcome

Answer:

Ratios to roses to lilies....6:9

Reduced.....2:3

Step-by-step explanation:

Pretty simple doesn't need explaining

Answer:

The honey bee would go 38.85 feet if it was traveling at 10.5 feet per second for 3.7 seconds

Step-by-step explanation:

Take the speed the bee is flying (10.5) and times it by the time (3.7) and you get 38.85 which is the answer. 38.85 feet

Given:

The triangle PQR on a coordinate plane.

To find:

The image of point Q after a rotation of 90° counterclockwise about the origin.

Solution:

From the given graph, it is clear that the coordinates of point Q are (5,0).

If the figure is rotated 90° counterclockwise about the origin, then the rule of rotation is defined as

[tex](x,y)\to (-y,x)[/tex]

Using this rule, we get

[tex]Q(5,0)\to Q'(-(0),5)[/tex]

[tex]Q(5,0)\to Q'(0,5)[/tex]

So, the image of point Q is (0,5).

Therefore, the correct option is (a).

Answer:

[tex]12 < 8 + x \\ 12 - 8 < x \\ 4 < x \\ \boxed{ x > 4}✓[/tex]

Answer:

A choice.

Step-by-step explanation:

Irrational number is a number that cannot be written in a fraction form. All square roots are classified as an Irrational number unless can be evaluated to Rational number.

From A choice, you cannot evaluate the square root of 7 into any rational number. Therefore, it is an Irrational number.

B choice, even though there is a square root, but you can still evaluate from square root of 4 to 2.

For C and D, both are integers. Integers are classified to be Rational Number. Therefore, C and D both are rational.

Answer:

I believe the answer would be A.

Step-by-step explanation:

A says 6 x h is 54.

            ^    ^      ^

            important!

6 is the number of hours.

h is how much money made per hour.

54 is the total after working 6 hours.

Answer: 6 in.

Step-by-step explanation:

Hope this helped! :)

Answer:

6 ft

Step-by-step explanation:

The cube root of 216 is 6. So 6x6x6 = 216. A cube has all equal sides resulting in the length, 6 ft.

Answer:

Slope: -1/2

Y-Intercept: (0,-3)

Step-by-step explanation:

y=mx + b

m is the slope, b is the y-intercept

Answer:

19.3 cm

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle B = 71°

Adjacent = 6.3 cm

Hypothenus = BC =?

The length BC can be obtained by using cosine ratio. This is illustrated below:

Cos B = Adjacent / Hypothenus

Cos 71 = 6.3 / BC

0.3256 = 6.3 / BC

Cross multiply

0.3256 × BC = 6.3

Divide both side by 0.3256

BC = 6.3 / 0.3256

BC = 19.3 cm

Thus, Lenght of side BC is 19.3 cm

Answer:

DHGB

Step-by-step explanation:

Let's start with 1.  

The equation is in standard form (ax+by=c): -4x+2y=8

we'll put it into slope intercept form.

Add 4x onto both sides

2y=4x+8

divide by 2

y=2x+4

Parallel lines have the same slope, but a different y intercept. (the line parallel to this one will have a slope of 2 but a y intercept different from +4)

Looking at the answer choices, the only choice with a slope of 2 is D (y=2x-5)

So the answer to 1  is D

Now 2.

we're given 3 points. One of the points crosses the y axis, which is the y intercept. In this case, the line crosses the point (0,3)

That means the y intercept of the line is (0,3)

here's the line so far:

y=mx+3 (m is a placeholder for the slope)

when given a graph, we can use rise/run. Starting from the point (3,2), we can move 3 spaces to the left, and one up.

In a graph, if you move to the left or downwards, it's a negative move. If you move up or to the right, it's a positive move.

Since we went 1 space up (rise) and 3 spaces to the left, (run) the slope is -1/3

So the line is y=-1/3x+3

Perpendicular lines are negative and reciprocal. If you multiply their slopes, they will equal -1. Their y intercepts don't matter at all.

So to find the slope, we can use this equation.

-1/3m=-1

multiply by -3 on both sides

m=3

Looking at the answer choices, H is the only answer with a slope of 3. So the answer to 2 is H.

Now, 3

You can do the graph method like above for 2, but I'll just calculate the slope.

We're given two points, (-1,-2) and (0,2)

the formula for slope is (y2-y1)/(x2-x1)

we can label the points.

x1=-1

y1=-2

x2=0

y2=2

now, substitute into the equation.

m=(2--2)/(0--1)

m=4/1

the slope is 4.

Now let's use point slope form, which is y-y1=m(x-x1)

once again, sub. into the equation.

y+2=4(x+1)

do distributive prop

y+2=4x+4

subtract by 2

y=4x+2

As said above, parallel lines have the same slope.

Looking at the answer options, G also has the slope of 4

so the answer to 3 is G

Finally, #4

Equation: 3x+y=1

subtract 3x from both sides

y=-3x+1

As said above, perpendicular lines have slopes that multiply to equal -1.

-3m=-1

multiply by -1/3

m=1/3

so the slope of the line will be 1/3.

Looking at the answer options, B also has a slope of 1/3.

So the answer to 4 is B

The code is DHGB

Hope this helps!

Answer:

hjyuojhgfdsa

Step-by-step explanation:

Answer:

the answer is 313

Step-by-step explanation:

Answer:

I think the answer to the question is C

Answer:

A

Step-by-step explanation:

The sign means that x is smaller than 3. There is no need for the line underneath since the dot is not filled in.

Answer

The tool set costs $68 during the sale this week.

Explanation

We know that...

Normally the tool set costs $80.

During the sale, the tool set costs $12 less than usual.

So you should subtract to find the cost of the tool set during the sale.

80-12=68

So the tool set would cost $68 during the sale.

Answer:

Step-by-step explanation:

This is estimated, so I would draw a line-of-best-fit.

You need a point with a Y of 1800, so it would be located around halfway the two upper-points

It looks to be about 10C, but I'm in USA so I use bad Fahrenheit D:

Answer:

96

Step-by-step explanation:

First we can express in numbers how many students are freshman :

(28:100)=0.28 (percent into integer)

Then we multiply this number with 1600

1600*0.28=448 (this is the number of freshman)

Now we do it again with the number of juniors

(22:100)=0.22

1600*0.22= 352

Now we only subtraction these two numbers

448-352= 96

So we now know that there is 96 more freshmens than juniors

Answer: 3:30 per gallon

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

_______Y=0.75X-2_______

Answer:

-1/2

Step-by-step explanation:

The equation for slope is (y2-y1)/(x2-x1).

Plug in the values given in the problem

(11-7)/((-2)-6)

Then simplify

4/(-8)=-1/2

Answer:

kinetic

Step-by-step explanation:

it is using the energy

Answer: B. kinetic energy

Step-by-step explanation: i think this because kinetic energy is the spped of something for example a ball rolling down a hill is kinetic energy