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aniked [119]
3 years ago
6

Alyssa opened a bank account that earns 1.5% simple interest. Over 4 years, she earned $72 in interest. How much money did

Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0

Answer:

1200

Step-by-step explanation:

72/4=$18 interest each year

amount x interest rate = interest

amount x .015 = 18

amount = 18/.015

amount = 1200

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Solve 2^3x=172 Use logarithmic please
I am Lyosha [343]
2^3x = 172
3x log 2 = log 172
3x = 7.4263
x = 2.475

i am a mathematics teacher. if anything to ask please pm me
4 0
4 years ago
A student has $5.00 to spend on a poster, paint, and stickers. The total cost for the
babunello [35]

Answer:

2.8+.55x=5 x=4

Step-by-step explanation:

5-2.8=2.2

2.2/.55=4

4 0
3 years ago
Please Help Me
ludmilkaskok [199]

Given:

The point (9,-12) is on terminal side of angle theta in standard position.

To find:

The exact value of each of the six trigonometric functions of theta.

Solution:

The given point is (9,-12). Here, x-coordinate is positive and y-coordinate is negative. So, the point lies in 4th quadrant and only cos and sec are positive in 4th quadrant.

We know that,

r=\sqrt{x^2+y^2}

r=\sqrt{9^2+(-12)^2}

r=\sqrt{81+144}

r=\sqrt{225}

r=15

Now,

\sin \theta=\dfrac{y}{r}=\dfrac{-12}{15}=-\dfrac{4}{5}

\cos \theta=\dfrac{x}{r}=\dfrac{9}{15}=\dfrac{3}{5}

\tan \theta=\dfrac{y}{x}=\dfrac{-12}{9}=-\dfrac{4}{3}

\cot \theta=\dfrac{1}{\tan \theta}=-\dfrac{3}{4}

\text{cosec} \theta=\dfrac{1}{\sin \theta}=-\dfrac{5}{4}

\sec \theta=\dfrac{1}{\cos \theta}=\dfrac{5}{3}

Therefore, the values of six trigonometric functions of theta are \sin \theta=-\dfrac{4}{5},\cos \theta=\dfrac{3}{5},\tan \theta=-\dfrac{4}{3},\cot \theta=-\dfrac{3}{4},\text{cosec} \theta=-\dfrac{5}{4},\sec \theta=\dfrac{5}{3}.

6 0
4 years ago
In triangle ΔABC, ∠C is a right angle and CD is the height to AB . Find the angles in ΔCBD and ΔCAD if: m∠A = α
hodyreva [135]

Answer:

Given:

m∠C = 90°, because ∠C is a right angle.

m∠D = 90°, because CD is the height to AB.

m∠A = α

Since the sum of angles in a triangle is 180°, therefore

m∠DBC + 90° + α = 180°

m∠DBC = 90° - α

Again, for the same reason,

m∠DCB + m∠DBC + 90° = 180°

m∠DCB + 90° - α + 90° = 180°

m∠DCB = α

For the same reason,

m∠ACD + 90° + α = 180°

m∠ACD = 90° - α

m∠ADC = 90° (by definition)

m∠CDB = 90° (by definition)

Answer:

m∠DBC = 90° - α

m∠DCB = α

m∠CDB = 90°

m∠ACD = 90° - α

m∠ADC = 90°

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which of these systems of linear equations has an infinite number of solutions? 3 x minus 8 y = 21. 6 x minus 16 y = 46. 3 x + 6
DiKsa [7]

The answer is B, 3x + 6y = 22 & 6x +12y = 44.

5 0
3 years ago
Read 2 more answers
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