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Leona [35]
2 years ago
8

Praise put some money into an account paying 4.5% compounded continuously for 10 year

Mathematics
1 answer:
Gala2k [10]2 years ago
6 0

Answer: \$2297.47

Step-by-step explanation:

Given

Rate of interest r=4.5\%

time period t=10\ year

Amount A=\$3567.91

Amount in compound interest is given by

\Rightarrow A=P[1+r\%]^t

where, P=\text{Principal}

Insert the values

\Rightarrow 3567.91=P[1+0.045]^{10}\\\\\Rightarrow P=\dfrac{3567.91}{1.5529}\\\\\Rightarrow P=\$2297.47

So, Praise starts with \$2297.47

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−7m+4&lt;−45 <br><br> its an one-step problem help me please
aleksandr82 [10.1K]

Answer:

x > 7

Step-by-step explanation:

- 7m + 4 < - 45 ( subtract 4 from both sides )

- 7m < - 49

Divide both sides by - 7 , reversing the symbol as a result of dividing by a negative quantity.

m > 7

7 0
2 years ago
Read 2 more answers
Zac bought a board game that includes 30 blue game pieces and 40 green game pieces what is the ratio of blue game pieces to gree
miss Akunina [59]

Answer:    3:4

Step-by-step explanation:

If you divide both 30 and 40 by 10 you get 3 and 4

Since it says blue:green the answer is 3:4

4 0
3 years ago
Angle x measures 42°. Find the measure of angle y.
Aneli [31]
The answer is Angle Y equals 138.

angle y= 180 -42 which gives u 138
6 0
3 years ago
In the figure, and bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.
Alisiya [41]

Observe the figure below.

    Statement                                                                          Reason

1. AC and BD bisect each other                                             Given

2. AE = EC and BE = ED                                                         Definition of bisection

3. m \angle AEB = m \angle CED                       Vertical angle theorem

Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".

4. \Delta ABE \cong \Delta CDE                         SAS criterion for congruence

5. m \angle ACD = m \angle CAB           Corresponding angles of congruent triangles are congruent

6. AB \parallel CD                                 Converse of alternate interior angle theorem

7.  m \angle BEC = m \angle AED                   Vertical angle theorem

8.  \Delta BEC \cong \Delta DEA            SAS criterion for congruence

9.  BC \parallel AD                                 Converse of alternate interior angle theorem

As, \Delta BEC \cong \Delta DEA, so m \angle CBD = m \angle BDA as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by  "Converse of alternate interior angle theorem".

5 0
3 years ago
I need the answers for this one as well!​
Julli [10]

For the sake of showing work I will replace the empty space with an x like so...

\frac{9}{10} =\frac{90}{x}

To find out what x is you must cross multiply (aka butterfly)

***Image of this step is attached below

9*x = 10*90

9x = 900

Next divide 9 to both sides to finish isolating x. Since 9 is being multiplied by x, division (the opposite of multiplication) will cancel 9 out (in this case it will make 9 one) from the left side and bring it over to the right side.

9x ÷ 9 = 900 ÷ 9

1x = 100

x = 100

To make these fractions equivalent the empty spot must be 100

\frac{9}{10} = \frac{90}{100}

Hope this helped!

~Just a girl in love with Shawn Mendes

 

8 0
3 years ago
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