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OLga [1]
1 year ago
9

You need a simple interest bridge loan to cover the costs of buying a new home while waiting to close on your old one. You need

to finance $78,000 and bank will charge 9%. How much interest will you pay if you needed the loan for 2 months?Interest =$____(nearest $1)
Mathematics
1 answer:
Mademuasel [1]1 year ago
7 0

Answer:

Explanation:

Parameters:

Principal, P = $78,000

Interest rate, R = 9%

Time, T = 2 months OR 2/12 = 1/6 years

Interest = ?

The formula for simple interest is:

I = PRT/100

\begin{gathered} I=\frac{78000\times9\times\frac{1}{6}}{100} \\  \\ =\frac{78000\times9}{100\times6} \\  \\ =\frac{702000}{600}=1170 \end{gathered}

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Luke makes fruit cakes for a stall at a village fete. It costs Luke £1.80 for
zalisa [80]

Answer:

2.43

Step-by-step explanation:

1.80 x 0.35 + 1.80

5 0
3 years ago
5) In the figure, triangle ABC is a right triangle at B. If CD = 15, find BC to the nearest tenth.
ycow [4]

Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

\frac{AC}{sin30} = \frac{15}{sin40} ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = \frac{15sin30}{sin40} ≈ 11.668

Using the cosine ratio in right triangle ABC

cos70° = \frac{adjacent}{hypotenuse} = \frac{BC}{AC} = \frac{BC}{11.668} ( multiply both sides by 11.668 )

11.668 × cos70° = BC , then

BC ≈ 4.0 ( to the nearest tenth )

6 0
3 years ago
Hi everyone I was wondering if someone could please help me out with this problem and explain it to me
PSYCHO15rus [73]
Join the centre O to the chord (let it be MN) & let OH be the perpendicular to the chord

OH bisects MN into 2 equal parts (each one is x/2)
OMH is a right triangle with one side =8, the second leg =x/2 & the hypotenuse = 12 (Radius)
Apply Pythagoras:

12² = 8² +(x/2)² ==>144=64 + x²/4 ==> x²=4(144-64) =320

x²=320==> x=√320 =17.88 ≈17.9



3 0
4 years ago
PLEASE HELP ASAP Will mark Brainliest as well
Nastasia [14]

4 and 8 are corresponding angles.  Corresponding angles are on the same side of parallel lines cut by a transversal

4 0
3 years ago
What expressions are equivalent to 5x + (x+6) + 3x
anyanavicka [17]

Answer:

9x + 6

Step-by-step explanation:

<u>Step 1:  Distribute</u>

5x + (x + 6) + 3x

5x + x + 6 + 3x

<u>Step 2:  Combine like terms</u>

5x + x + 6 + 3x

9x + 6

Answer: 9x + 6

8 0
3 years ago
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