Lucy has $60,000 in a savings account that earns simple interest of 14% per year. How much will she have in her account after 5 years?

Answer:

-5

Step-by-step explanation:

gradient = change in y ÷ change in x

gradient = -5 ÷ 1 = -5

If a polynomial function has integer coefficients, the every rational zero of the function has the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

The rational zero theorem says that if a polynomial has integer coefficients then any rational zeros must be of the form p/q where p is the factor of the constant term and q is the factor pf the leading coefficients.

The rational zero theorem is used to determine the rational roots of a polynomial function.

Rational Zero Theorem statement:-

The rational zero theorem states that each rational zero(s) of a polynomial wit integer coefficients

f(x) = anxⁿ + an-1xⁿ⁻¹ + ... + a₂x² + a₁x + a₀ is of the form p/q where,

p is a factor of the constant a₀,

q  is a factor of the leading coefficient an,

and p and q are relatively prime.

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Answer:

x = 2

Step-by-step explanation:

The parallel lines divide the transversals in proportion, that is

\(\frac{x}{8}\) = \(\frac{9}{36}\) = \(\frac{1}{4}\) ( cross- multiply )

4x = 8 ( divide both sides by 4 )

x = 2

Answer:

The answer is 0.

Step-by-step explanation:

You are right because the -4 and 4 would be an x - intercept but it's not there on the answer choice. So, go with A. 0 Another explainationor this is (0,9) is the vertex, and the x intercept lies on 0.

Answer:

Closed circle

Step-by-step explanation:

When it's ≤ or ≥ it's a closed circle, when it's < or > it's an open circle.

Answer:

True but are you talking about first of everything or before something else because if it's the first of everything the answer is false.

Answer:  -14r + 60

 your welcome.

The requried larger number x is 80 and the smaller number y is 27.

Let's use the given variables:

x be the larger number

y be the smaller number

According to question

The sum of two numbers is 107 is represented by x + y = 107

The difference between the two numbers is 53 is represented by x - y = 53.

Solving the system of equations:

(x + y) + (z - y) = 107 + 53

2x = 160

x = 80

Now, z = 80, substitute this value into one of the original equations to solve for y.

x + y = 107

80 + y = 107

y = 27

Therefore, the requried larger number x is 80 and the smaller number y is 27.

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Susan has 875 grams of grapes left.

1. Susan bought a 1 kilogram bag of grapes, which is equivalent to 1000 grams (since there are 1000 grams in a kilogram).

2. Susan ate 125 grams of the grapes on her way home.

3. To find out how many grams of grapes Susan has left, we need to subtract the amount she ate from the initial weight of the bag. Therefore, we subtract 125 grams from 1000 grams.

  1000 grams - 125 grams = 875 grams

4. Thus, Susan has 875 grams of grapes left.

measurement units:

In this problem, we used grams as the measurement unit. Grams are commonly used to measure the weight of small objects like grapes. Since the problem stated that Susan bought a 1 kilogram bag of grapes, it was necessary to convert the kilogram measurement to grams.

This conversion was done by multiplying the kilogram value by 1000 (1 kilogram = 1000 grams). By using the correct measurement units, we were able to accurately calculate the amount of grapes Susan had left after eating a portion.

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Answer:

4.right

5. obtuse

6. acute

7. obtuse

8.acute

9. right

10. right

11. acute

12. obtuse

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

2 units

Step-by-step explanation:

vertical distance will be the magnitude of the difference in the 'y' coordinates

| -.8 - 1.2| = 2 units

The standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.

What do you mean by standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The standard deviation of the difference in the weights of the two oranges is equal to the square root of the sum of the squares of the standard deviations of the two oranges. This is because the weights of the two oranges are independent random variables.

Therefore, the standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.

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Answer:

what do you need to find the X or what

Answer: 115.8

Step-by-step explanation:

THERE IS NO EXPLANATIONNNN

Answer:

19.3 x 6 is 115.8. if you wanna round it up its 119

Step-by-step explanation:

Answer:

i think it's b4

Step-by-step explanation:

Answer:

cos 24 =x/17

cross multiply

cos 24 × 17=x

0.913 × 17 =x

0.669=x

x = 0.669

answer:

h

Step-by-step explanation:

if there is more blues and green cards than purple there is a lower chance of getting purple

Answer:

\(K)~\frac{3}{16+x}\)

Step-by-step explanation:

\(green~ cards=4\)

\(blue ~cards=9\)

\(purple~ cards=3\)

\(pink ~cards=x\)

\(total:-\) 4×9×3×x

→ \(16+x\)

\(p(x)=\frac{3}{16+x}\)

\(Answer:K\)

\(------------\)

hope it helps...

have a great day!!

Answer:

I think the answer is

t=r/r-3

r=t(r-3)

r=tr-t3

Answer: answer is 5

Step-by-step explanation:

Answer:

cos 30 + sin60 + sin30 - cos60

we know that sin ( 90 -a ) = cos a { and vice versa }

therefore by using this property,

sin ( 90 - 30 ) + sin 60 + sin 30 - sin ( 90-60)

sin 60 + sin 60 + sin 30 - sin 30 =

2 sin 60

That's the answer I got. Tell me if it's correct

To write the given equation in logarithmic form, we can use the definition of logarithms. The equation 10^m = w can be rewritten as a logarithm with base 10: log10(w) = m

The general relationship between exponents and logarithms is as follows:

base^(exponent) = result

In logarithmic form, it's written as:

log_base(result) = exponent

For our given equation, 10^m = w, we have:

base = 10

exponent = m

result = w

Applying the general logarithmic relationship, we write:

log10(w) = m

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Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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Answer:

x intercept: (-8,0)

y intercept: (0,2)

Hey

terms are

9k , 7 , k , 4

the variable is

k

coefficients are

9 , -1

Answer:

It would be the first option 8x-8y=32

Answer: (a) When he turns 68 , the account will have = $1,179,415.39

(b) $ 288,000

Step-by-step explanation:

Formula: Future value of annuity =\(P[\dfrac{(1+r)^n-1}{r}]\), where P+ periodic payment, r = rate of interest per period, n= number of periods.

As per given, we have

P= $1800

rate of interest = 6% = 0.06

(a) n= 68-28 = 40

Rate per period : r= \(\dfrac{0.06}{4}=0.015\)  

Number of periods: n = 4x 40 =160

Now, Future value of amount when Mr. Pink turns 28 years = \(1800(\dfrac{(1+0.015)^{160}-1}{0.015})\)

\(=1800(\dfrac{10.8284615777-1}{0.015})\\\\=1800\times\dfrac{9.8284615777}{0.015}\\\\\approx\$1179415.39\)

Hence, when he turns 68 , the account will have = $1,179,415.39

(b) Total contribution = P × n

=1800 × 160

=$ 288,000

Hence, Total contribution =$ 288,000