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2 years ago

If you borrow $700 for 5 years at

Mathematics

1 answer:

Otrada [13]2 years ago

4 0

The amount you would pay altogether if you borrow $500 for 5 years at

an annual interest rate of 7% is $945.

<h3>How much would you pay altogether?</h3>

The amount you would pay altogether is the sum of the amount borrowed and the interest.

Total value of the debt = interest + amount borrowed

Interest = $700 x 7% x 5 = $245

Total value of the debt = $245 + $700 = $945

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If the vegetable assembly line runs for 3 minutes, how many minutes would the fruit assembly line need to run to complete the or

Rudik [331]

Answer:

You need to say how many cans go by a minute to be able to answer this question.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Directions: Complete all 3 questions. Make sure you include a graph, work and conclusion.

Simora [160]

Prove that the quadrilateral whose vertices are I(-2,3), J(2,6), K(7,6), and L(3, 3) is a rhombus.

I think in these problems the first step is to express each side as a vector. A vector is the difference between points. When two sides have the same vector (or negatives) it means they're parallel and congruent. So in a rhombus IJKL the vectors IJ and LK should be the same, as should JK and IL. That much assures a parallelogram; we check IJ and JK are congruent to complete the crowing of the rhombus.

Let's calculate these vectors:

IJ = J - I = (2,6) - (-2,3) = (2 - -2, 6 - 3) = (4, 3)

LK = K - L = (7, 6) - (3, 3) = (4, 3)

IJ = LK, so far so good

(Note: If you haven't got to vectors yet you can just show the two sides are the same length, 5, and have the same slope, 3/4, both of which can be read off the vectors.)

JK = K - J = (7,6) - (2,6) = (5,0)

IL = L - I = (3, 3) - (-2, 3) = (5, 0)

Those are the same too.

Now we have to show IJ ≅ JK

The length of IJ is the cliche √4²+3² = 5, the same as JK, so IJ ≅ JK

We showed all four sides are congruent and we have two pair of parallel sides, so we have a rhombus.

8 0

3 years ago

What’s the answer to this

ryzh [129]

Answer:

see below

Step-by-step explanation:

The graph extends to the left more or less horizontally, approaching the line y=3. The only choice that expresses that is the third one.

7 0

3 years ago

Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?

Kay [80]

Answer:

Step-by-step explanation:

By applying tangent rule in the given right triangle AOB,

tan(30°) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

$\frac{1}{\sqrt{3}}=\frac{BO}{OA}$

$OA=BO(\sqrt{3})$

By applying tangent rule in the given right triangle BOC,

tan(60°) = $\frac{OC}{BO}$

OC = BO(√3)

OA + OC = AC

$BO(\sqrt{3})+BO(\sqrt{3}) =60$

2√3(BO) = 60

BO = 10√3

OC = BO(√3)

OC = (10√3)(√3)

OC = 30

By applying tangent rule in right triangle DOC,

tan(60°) = $\frac{OD}{OC}$

OD = OC(√3)

OD = 30√3

Since, BD = BO + OD

BD = 10√3 + 30√3

BD = 40√3

≈ 69.3

6 0

2 years ago

M/IGF = 135x, m/HGF = 161°, and m/HGI = 26x. Find x

Nina [5.8K]

Answer:

x = 1

Step-by-step explanation:

The two angles, ∠HGI & ∠IGF, when combined, will result in ∠HGF.

Note:

m∠IGF = 135x

m∠HGI = 26x

m∠HGF = 161°

Set the equation:

m∠IGF + m∠HGI = m∠HGF

Plug in the corresponding terms to the corresponding variables:

135x + 26x = 161

Combine like terms:

(135x + 26x) = 161

161x = 161

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 161 from both sides:

(161x)/161 = (161)/161

x = 1

1 is your answer.

x = 161/161 = 1

5 0

3 years ago