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den301095 [7]
3 years ago
10

2a. Principal: $300, rate: 3%, time: 4 years. What is the interest earned and the new balance? *

Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0
$327 would be the new balance. and The interest earned would be $27
You might be interested in
7. Write an equation for the line that is parallel to the given line and that passes through the given point.
Vlad1618 [11]

Answer:

C. y = 1/2x - 14

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line parallel to  y = 1 /2 x − 8 .

y = 1 /2 x − 14                              PARALLEL

...................................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  y = 1 /2 x − 8 .

y = − 2 x − 29                               PERPENDICULAR

8 0
2 years ago
Find z such that 4.8% of the standard normal curve lies to the left of z. (Round your answer to two decimal places)
lukranit [14]

Answer:

The correct answer will be "-1.66".

Step-by-step explanation:

Let z₀ be,

P(z

                =0.048

⇒ \Phi (z_0)=0.048

Now,

⇒ \Phi (-1.6646)=0.048

   z_0=-1.6646

       \simeq  -1.66

Thus the above is the right answer.

3 0
2 years ago
Three friends met for a book club at a coffee shop, each friend ordered a cup of coffee and two donuts. the total of the order w
4vir4ik [10]

Answer:

Cost\ of\ donut=\frac{49}{24}\approx \$2.042\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25

Step-by-step explanation:

a.

Let\ cost\ of\ coffee=y\\\\cost\ of\ one\ donut=x\\\\Each\ friend\ buy\ one\ coffee\ and\ two\ donuts\\\\Amount\ for\ 1\ friend=Cost\ of\ coffee+2\times cost\ of\ donut\\\\Amount\ for\ 1\ friend=y+2x\\\\Amount\ required\ for\ 3\ friend=3\times Amount\ for\ 1\ friend\\\\Amount\ required\ for\ 3\ friend=3\times (y+2x)\\\\Amount\ required\ for\ 3\ friend=3y+6x\\\\Total\ bill=\$ 22\\\\3y+2x=22\\\\Given\ cost\ of\ coffee=\$3.25\\\\y=\$3.25

Hence\ solution\ of\ following\ system\ of\ equation\ will\ give\ cost\ of\ donut:\\\\3y+6x=22\\\\y=3.25\\\\\\Substitute\ y=3.25\ in\ first\ equation\\\\3\times 3.25+6x=22\\\\9.75+6x=22\\\\6x=22-9.75\\\\6x=12.25\\\\x=\frac{12.25}{6}\\\\x=\frac{49}{24}\approx \$2.042\\\\Cost\ of\ donut=\frac{49}{24}\approx \$2.042

See attached diagram.

b.

Each\ friend\ takes\ 2\ donuts\\\\Total\ donuts=Number\ of\ friends\times 2\\\\Total\ donuts=3\times 2=6\\\\cost\ of\ donuts=number\ of\ donuts\times cost\ of\ 1\ donut\\\\cost\ of\ donuts=6\times \frac{49}{24}\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25

5 0
3 years ago
If u = -8i + 7j, what is the magnitude of -5u? Simplify any radicals.​
lubasha [3.4K]

Answer:

- 5 \sqrt{113}

Step-by-step explanation:

Find the magnitude of the complex number

Notice the magnitude is equal to

u = \sqrt{ {a}^{2}  +  {b}^{2} }

where a is the real number and b is the imaginary number.

Substitute

u =  \sqrt{ - 8 {}^{2}  + 7 {}^{2} }

u =  \sqrt{64 + 49}

u =  \sqrt{113}

Multiply this by -5

- 5 \sqrt{113}

7 0
2 years ago
Which two equations can you use to find the adult and child admission fees for a puppet show? Let a represent the fee for adults
vlabodo [156]

45a + 30c = 315 \\ 50a + 40c = 370
The answers are C and E

Hope this helps. - M
3 0
3 years ago
Read 2 more answers
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