PLEASE HELP!
5. Len plans to invest money he has saved so that he can earn $100 interest in one year. He will deposit some of his money in an account that
pays 4%/year. He will use the rest of his money to buy a one-year GIC that pays 5%/year.
a) Write an equation for Len's situation, anddraw a graph.
b) Suppose that Len buys a GIC for $1500.
Use your graph to determine how much
he would need to put in the account.
c) Suppose that Len deposits $2200 in the account. Determine how much he would need for the GIC.​

Answer:

111÷125

Step-by-step explanation:

0.888 as fraction is 888÷1000

Divide by 2 u get

444÷500 furher divide by 2

222÷250

and last divide

111÷125 and u cant change into more lower fraction so the answer is 111÷125

The required fraction of the number 0.888 is 111 / 125.

Given that,
To determine the  0.888 as a fraction, in simplest form.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
Given number = 0.888
Fraction = 0.888 = 888 / 1000
Faction = 111 / 125

Thus, the required fraction of the number 0.888 is 111 / 125.

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Answer: 36x41=1476

I hope I helped.

Answer:

36×41=1476

Step-by-step explanation:

Mental math :D

Step-by-step explanation: Exponential form contains a base and an exponent. The base is the number that is multiplied so in this case, 2 is the base. Next we write the exponent which is the number of times that the base is multiplied. Since 2 is multiplied 4 times, the exponent is 4.

So in exponential form, 2 x 2 x 2 x 2 can be written as [tex]2^{4}[/tex].

The  expression 2 x 2 x 2 x 2 can be written in exponential form as [tex]2^{4}[/tex]

In a variety of mathematical applications, such as scientific notation, computations using powers, and illustrating development or decay processes, exponential form is frequently used. A base and an exponent are both present in exponential form. The multiplied number, in this example 2, is known as the base. The exponent, which represents the number of times the base has been multiplied, is then written. The exponent is 4 since 2 has been multiplied 4 times.

Then we can see that there are four 2s then we can write in exponential as 2 x 2 x 2 x 2 =[tex]2^{4}[/tex]

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Answer:x-coordinate of T: from -9 to 2, there's 11 units, so you add 11 to 2 to find the x-coordinate of T, which is 13.

y-coordinate of T: from 4 to -1 there's -5 units, so you subtract 5 from -1 to find the y-coordinate of T, which is -6.

Step-by-step explanation:

Answer: Andy has 30 dollars left

Step-by-step explanation: 38 - 5 - 3 = 30

Answer:

$30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello:

the equation is : y = ax+b

the slope is a : a×(2) = -1......( perpendicular to a line with a slope of 2 for : y=2x+1)

a =-1/2          y=(-1/2)x+b

the line that passes through (6, 2) : 2 = (-1/2)(6)+b

b = 5

the equation is :  y  = (-1/2)x+5

You can use the fact that perpendicular lines have slopes such that their multiplication ends up as -1.

The equation of the line perpendicular to line y = 2x + 1 and passing through (6,2) point coordinate is given as

[tex]y = -\dfrac{1}{2}x + 5[/tex]

Suppose that first straight line has slope 's'

Let another straight line be perpendicular to this first line.

Let its slope be 'a'

Then due to them being perpendicular, they have their slopes' multiplication as -1

or

[tex]s \times a = -1\\\\a = -\dfrac{1}{s}[/tex]

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

[tex]y = mx + c[/tex]

The first line y = 2x + 1 is in slope intercept form and its slope is s = 2

Now, let the second line which is perpendicular to this line and passing through (6,2) coordinate be

y = [tex]ax + b[/tex]

Then as both lines are perpendicular, thus

[tex]a = -\dfrac{1}{s} = -\dfrac{1}{2}[/tex]

Thus, equation of second line is

[tex]y = -\dfrac{1}{2}x + c[/tex]

Since this line passes through coordinate (6,2), thus, this point coordinate should satisfy the equation of line as an equation is true for all points the graph represented by it passes through.

Thus,

[tex]y = -\dfrac{1}{2}x + c[/tex]

[tex]2 = -\dfrac{1}{2} \times 6 + c\\\\2 = -3 +c\\\\c=2+3 = 5[/tex]

Thus, equation of the second line is

[tex]y = -\dfrac{1}{2}x + 5[/tex]

Thus,

The equation of the line perpendicular to line y = 2x + 1 and passing through (6,2) point coordinate is given as

[tex]y = -\dfrac{1}{2}x + 5[/tex]

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Answer:

Find the volume of the sphere where its diameter is 15 inches. Take π=3.14.

Step-by-step explanation:

Alright, since we are finding the volume of a sphere, we will be using the following volume formula:

the formula for the volume of a sphere

where π is a number that is approximately equals to 3.14 (or use the number given to you) and r is the radius of the sphere.

Note that, to use the formula, we need the value of the radius. Since the radius is half of the diameter, we can find the value of the radius by dividing 15 with 2. This is shown below:

Answer:

I think the answer would be 30

sorry if it is wrong

Step-by-step explanation:

Answer:

20 square units

Step-by-step explanation:

we know that

The area of rectangle is equal to

[tex]A=LW[/tex]

In this problem

[tex]L=WX=ZY\\W=WZ=XY[/tex]

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

Find the distance WX

we have

W(-3,1), X(3,3)

substitute the values in the formula

[tex]d=\sqrt{(3-1)^{2}+(3+3)^{2}}[/tex]

[tex]d=\sqrt{(2)^{2}+(6)^{2}}[/tex]

[tex]d_W_X=\sqrt{40}\ units[/tex]

Find the distance XY

we have

X(3,3),Y(4,0)

substitute the values in the formula

[tex]d=\sqrt{(0-3)^{2}+(4-3)^{2}}[/tex]

[tex]d=\sqrt{(-3)^{2}+(1)^{2}}[/tex]

[tex]d_X_Y=\sqrt{10}\ units[/tex]

Find the area of rectangle

[tex]A=(WX)(XY)[/tex]

substitute the values

[tex]A=(\sqrt{40})(\sqrt{10})=20\ units^2[/tex]

Answer:

c

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

(11/3)x=(2/9)

Step-by-step explanation:

1) Three and two thirds can be simplified to 11/3

2) A number can be rewritten as "x"

(11/3)x=(2/9)

Answer:

Step-by-step explanation:

Ok so supplementary angles add up to 180°. If A and B add up to 180, then they can be added together to be solved. x+2x-30=180 would be your equation. From here you must balance the variable values on one side and numerical values on the other side. This can simply be done by adding 30 to both sides. Not the -30 is gone but 180 increased by 30 degrees to 210. next, combine like terms on the x side to get 3x. (2x+x=3x). set 3x equal to 210 and divide both sides to lose the 3 in front of the x value. 210/3 is equal to 70, making x=70! This may be hard to follow, so comment below if you need a broader explanation. Have good day!

Answer: The acute angle is the small angle which is less than 90°. If you choose the larger angle you. will have a Reflex Angle instead: The smaller angle is an Acute Angle, but the larger angle is a Reflex Angle.

Step-by-step explanation: An angle that is exactly 90 degrees is called a right angle. Angles greater than 90 degrees and less than 180 degrees are called obtuse angles. An angle that is exactly 180 degrees is called a straight angle. butt

Answer:

42mL

Step-by-step explanation:

Density equals Mass divided by Volume. In that way, you are missing the Mass, so it would be Density multiplied by Volume.

Answer:

9(x + 7)= 27

9x + 63 = 27

9x = -36

x = -4

Step-by-step explanation:

Answer:

Most often people wear a helmet when riding a bike.

Answer:

Step-by-step explanation:

[tex]i=\sqrt{-1}\to i^2=-1\\\\(5+3i)-(5+3i)(5-5i)\qquad\text{distribute}\\\\=(5+3i)(1-(5-5i))=(5+3i)(1-5-(-5i))=(5+3i)(-4+5i)\\\\\text{use}\ FOIL:\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(5)(-4)+(5)(5i)+(3i)(-4)+(3i)(5i)\\\\=-20+25i-12i+15i^2=-20+13i+15(-1)\\\\=-20+13i-15=-35+13i[/tex]

divide exponent by 4

since the remainder is zero, the equation can be rewritten as i^0 and any number to the 0 power is 1

Answer:

1

Step-by-step explanation:

The pattern of imaginary numbers taken to exponents goes as thus:

i^1= i

i^2= -1

i^3= -i

i^4= 1

To solve this problem, divide the exponent by 4:

32/4= 8

Now rewrite i^32 as (i^4)^8  

(When exponents are raised by an exponent you multiply them together)

i^4=1, this is your answer

Answer: b

Step-by-step explanation:

ok, lets see the answers one for one.

a) in this case, t can be 4, if t= 4 then t + 1 = 5 and the inequality is false.

b) in this case, the maximum vale of t is 2, then 2 + 1 = 3, the inequality is true here, and all the other numbers in the set is smaller than 2, then all this set keeps the inequality true.

c and d) both sets allow to take, for example, t= 10, wich makes the inequality false.

now in this type of exercises, you should se the biggest and lowest number that keeps the inequality true, in this case the biggest is 2, because 2 + 1 = 3, and there is no lowest limit because any negative number + 1 will be less than 3. With those limits then you can figure the set of valid solutions with all the numbers in between.

Final answer:

The solution to the inequality 3 ">=" t + 1 is option b) {t | t ">=" 2}, which means that t is any number less than or equal to 2.

Explanation:

Before solving the inequality 3 ">=" t + 1, first, let's isolate the variable t. To do that, we subtract 1 from both sides of the inequality:

3 - 1 ">=" t + 1 - 1

2 ">=" t

This can be read as 't is less than or equal to 2' or 't must be any number that is 2 or smaller.' Therefore, the correct answer is:

{t | t ">=" 2}

When comparing with the question options, it is clear that option b) matches our solution.

Thus, option b) {t | t ">=" 2} is the correct answer to the inequality given in the question.

Answer:There is 16

Step-by-step explanation:

There is 16 because 4 × 4 is 16

Answer:

Using the graph as your guide, complete the following statement.

The discriminant of the function is

Step-by-step explanation: Remember a parable of the form f(x) = a[tex]a x^{2} + bx + c[/tex], satisfy:

(1) has only one root if and only if [tex] b^2 - 4ac = 0[\tex]

(2) has two real roots if and only if  [tex] b^2 - 4ac > 0[\tex]

(3) has two complex roots if and only if  [tex] b^2 - 4ac < 0[\tex].

The number b^2 - 4ac is called the discriminant of the parable f(x).

From the graph we can see that the parable has only one root approx in x =1. Thus from point (1) we can conclude that the discriminant should be zero.

PD: a root of a polynomial f(x) is a number a such thast f(a) =0.

The answer is A.

Answer: The answer is A because the vertex lies on the x axis which makes it zero.

Answer= A

Answer:

6.5

Step-by-step explanation:

Answer:

7 buses

Step-by-step explanation:

when doing a problem like this you have to divide the larger group of people by the smaller group

78 divided by 12 = 6.5

if u answered this multiplication problem correctly you would get 6.5 but u cannot put .5 people on a bus lol. so therefore u are not done yet... so u need to round up

here's a poem to help with ur rounding...

Find a place look next door

4 or less let it rest

5 or more raise the score!!!

so in conclusion your answer would be 7!

Answer:

(i)23.77kg

(ii)(ii) the inequality 20≤t≤48 means the weight of the dogs determined is for dogs that have the age of 20 weeks or less to the age of 48 weeks not more.

(iii)44 weeks

(iv)0.92

(v)Attached

(vi)The value of weight will be negative,which is unrealistic.

Step-by-step explanation:

(i)Given that the weight is modeled by the equation;

w = 0.92t−0.15 (20 ≤ t ≤ 48)

then substitute the value of t in the equation given that t=26 weeks

w=0.92*26-0.15=23.77kg

(ii) the inequality 20≤t≤48 means the weight of the dogs determined is for dogs that have the age of 20 weeks or less to the age of 48 weeks not more.

(iii)Apply the equation for weight

w=0.92t-0.15

40=0.92t-0.15

40+0.15=0.92t

40.15=0.92t

40.15/0.92=t

43.6⇒⇒44 weeks

(iv) Here , write the equation in slope intercept form of y=mx+c where m is the slope and c is the y-intercept

w=0.92t-0.15

y=mx+c

m=0.92

(v)sketch attached

(vi)

At birth, t=0 hence to find weight

w=0.92t-0.15

w=0.92*0-0.15

w=0-0.15

w=-0.15

The model cannot be extended to model accurately the dog's weight at birth because you will get a negative value for weight which is not realistic.

Answer:  The required constant of proportionality is 10.

Step-by-step explanation:  Given that y is directly proportional to x, and y = 150 when x = 15.

We are to find the constant of proportionality.

According to the given information, we can write

[tex]y\propto x\\\\\Rightarrow y=kx~~~~~~~~~~~~~~~~[\textup{where k is the constsnt of propotionality}].[/tex]

When y = 150 and x = 15, we get from the above equation that

[tex]y=kx\\\\\Rightarrow 150=k\times15\\\\\Rightarrow k=\dfrac{150}{15}\\\\\Rightarrow k=10.[/tex]

Thus, the required constant of proportionality is 10.

Answer:

10 gugvtbfvghmfjgncgfhfdg

Answer:

If a triangle has side lengths 3, 4, and 5 units, then its area is 6

Step-by-step explanation:

Deductive reasoning represents an important form of logical reasoning in which a conclusion is based on the concordance of multiple premises that are generally assumed to be true

we have

If a triangle has side lengths 3, 4, and 5 units, then its area is 6

we know that

1) If triangle has side lengths 3, 4 and 5, then is a right triangle because satisfy the Pythagoras Theorem

2) All right triangles have an area equal to one  half the product of the two smaller side lengths

[tex]A=\frac{1}{2}(a)(b)[/tex]

substitute the values

[tex]A=\frac{1}{2}(3)(4)[/tex]

[tex]A=6\ units^2[/tex]

therefore

The statement is valid based on deductive reasoning

Final answer:

A valid statement derived from deductive reasoning is that a right triangle with side lengths of 3, 4, and 5 units has an area of 6 square units. This is consistent with the properties of right triangles and the formula for the area of a triangle.

Explanation:

Based on deductive reasoning and the properties of right triangles, we can make a valid statement regarding the triangle with side lengths of 3, 4, and 5 units. Since the sum of the squares of the two smaller sides (3² + 4²) equals the square of the longest side (5²), by the Pythagorean theorem, this is a right triangle. Additionally, the area of a right triangle is given by A = (base × height) / 2, therefore, if we take the two shorter sides as the base and height, the area of this triangle would be (3 × 4) / 2 = 6 square units.

The valid statement based on the given information is that if a triangle has side lengths 3, 4, and 5 units, then its area is 6 square units. The other statements about polygons, perimeters, and other triangles' side lengths are not necessarily valid based on the given information alone.

Answer:

c.) 4 2/3

Step-by-step explanation:

look at the screenshot below it'll explain the answer

Answer:

4000×.06×2 which is 480

Step-by-step explanation:

You must times the money by the ir and then the year. Or money times the year then ir, it wouldn't really matter as long you times the three of them together

Answer:

y = -3x - 27

Step-by-step explanation:

0 = -3[-9] + b

-27 = b

y = -3x - 27

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES]:

⅓ → -3

I am joyous to assist you anytime.

Answer:

1,840 units squared

Step-by-step explanation:

Answer:

84 square feet as law of prism = perimeter of traingle ×length

Answer:

84 square feet

Step-by-step explanation:

thats the answer i got on edg